wld U please show me step by step how to slv by elimnation methd, use this equatn 4x-5y=48 & 2x+3y=2?

Question

plese dont leave out a single step, or a sngle process,think of me as being dumb and dont leave out a sngle step or detail i just love all of u!!!!!!!!

Answer 1

When you use the elimination method, you pretty much add both of the equations in order to eliminate and x or y.

Before using the elimination method you may have to multiply every term of one or both of the equations by some number so that equal terms can be eliminated

In this case multiply the second equation by -2

-2 (2x + 3y) = -2(2)

-4x - 6y = -4

Now the equations can be added to eliminate x.

4x - 5y = 48
+ -4x - 6y = -4
__________
-11y = 44

Now, solve for y.

-11y / -11 = 44 / -11
y = -4

Now plug the y back into one of the equations in order to find x.

2x + 3 (-4) = 2
2x - 12 = 2
2x - 12 + 12 = 2 + 12
2x = 14
2x / 2 = 14 / 2
x = 7

So,
y = -4
x = 7

Hope it helps!

Answer 2

4x - 5y = 48
2x + 3y = 2
The first thing you want to do is eliminate one of the variables. I chose 'x' because you only have to mess with one equation. First you need to make the two 'x's opposite of each other. To do this, we will multiply everything in the 2nd equation by -2.
-2(2x) + (-2)(3y) = (-2)(2)
Which gives us: -4x - 6y = -4. Now line the new equation up with the first equation:
4x - 5y = 48
-4x - 6y = -4
Now add the two equations together. 4x + (-4x) = 0, so the 'x' is eliminated. (-5y) + (-6y) = -11y. And 48 + (-4) = 44. So what we have left is...
-11y = 44
We solve this equation by dividing both sides by -11, which gives us y = -4.
Now we go back to the first equation of the original equation, and substitute 'y' in because we know what 'y' is now:
4x - 5y = 48 becomes 4x - 5(-4) = 48 or 4x + 20 = 48.
Now solve this equation, first subtract 20 from both sides:
4x = 28 ... next, divide both sides by 4
x = 7
So now we know 'x' and 'y' ... x = 7 and y = -4. To check these answers, plug them both into both of the original equations and see if it checks out...
4x - 5y = 48 ... 4(7) - 5(-4) = 48 ... 28 + 20 = 48 ... 48 = 48
2x + 3y = 2 ... 2(7) + 3(-4) = 2 ... 14 - 12 = 2 ... 2 = 2

And... it checks out. I hope this helps you understand! =)

Answer 3

you should use the distributive assets. 12x - 15 - 4x - 4 = 12x - 8 + 5 Then integrate like words 8x - 19 = 12x - 3 then you definately get the variable on a similar area -19 = 4x - 3 then you definately upload 3 to the two area -sixteen = 4x divide by ability of four on the two area -4 = x you should comprehend fundamentals of algebra to comprehend this nevertheless.

Answer 4

4x-5y=48
2x+3y=2
first of all choose any one of the variable u can choose any whih looks simplar to u
i will choose x
now multiply the first equation withthe coefficient of x in second equation
2*(4x-5y=48)
8x-10y=96...........(1)
and the second equation with the coefficient of the first variable
4*(2x+3y=2)
8x+12y=8...............(2)
now look at the signs of the variable x in the two new equations
if the sigans are same than subtract them if the signs are differnt then add them
in the equations 1 and 2 both the 8x are possitive ...this means that the signs are same ... so we subtract them
8x-10y=96
-(8x+12y=8)

=
8x-10y= 96
-8x-12y= -8

=
-22y=88
or y=-4
now put the value of y in any of ur origanl equation and get the value of x by simple substitution

hope u understand

Answer 5

x=7, y=-4

Answer 6

4x-5y=48
2x+3y=2 -----------multiply by 2

so eqn. is = 4x-5y=48
and eqn.2 =4x+6y=4

Subtract new eqn. 2 from eqn1

so 4x and 4x get cancled. and -5y - (6y) becomes -11y.

48 - (4) = 44
so if -11y = 44
then y = -44/11 = -4

so substitute y = -4 in eqn.2.

== 2x+3(-4)=2
so
2x=2+12
2x=14
so x=7

GoodLuck.

Answer 7

4x-5y=48
-2(2x+3y=2)

4x-5y=48
-4x-6y=-4
_________
-11y=44
y=-4

then, plug in the -4 into one of the original equations.
2x+3(-4)=2
2x-12=2
2x=14
x=7
hope that helped.

Answer 8

Multiply the second equation by 2
Subtract the two from each other.
the x will go away and you'll be left with -11y = 44
Solve and disco.

Answer 9

sumi has shown in the least number of steps, very clearly and its correct. Go for it.

Answer 10

4x-5y=48--------------eq1
2x+3y=2---------------eq2

to solve
eq1 - 2*eq2

4x-5y=48
4x+6y=4
-...-......-
___________
-11y=44
y=-4

from eq 2
2x+3(-4)=2
2x=14
x=7


hence x=7, y=-4