Solve by elimination?

Question

4x+5y=15
6x-4y=11

Answer 1

Multiply the first equation by -3
Multiply the second equation by 2
you'll get:
-12x - 15y = -45
12x - 8y = 22
add them together, then you get:
-23y = -23
y = 1
then sub y back in:
4x +5(1)=15
4x = 10
x = 5/2

Answer 2

Here is the general way to handle these problems.

1. You need to multiply the first equation by a number, so that
when you add it to the second, you eliminate either x or y.

2. Then solve for the remaining x or y.

3. Whichever variable you get (x or y), plug it into one of the
equations to get the other variable.

Here is the answer in this case.


1. Multiply the first equation by -6/4. You will get:

-6x - (30/4)y = -90/4
6x - 4y = 11

2. Add the two equations together. You get:

0 - (46/4)y = -(46/4), so y = 1.

3. Using the first equation, we have

4x + 5y = 4x + 5*1 = 15, so x = 5/2

4. So the solution is x = 5/2, y = 1.

Answer 3

Simplifying
4x + 5y = 15

Solving
4x + 5y = 15

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5y' to each side of the equation.
4x + 5y + -5y = 15 + -5y

Combine like terms: 5y + -5y = 0
4x + 0 = 15 + -5y
4x = 15 + -5y

Divide each side by '4'.
x = 3.75 + -1.25y

Simplifying
x = 3.75 + -1.25y




and




Simplifying
6x + -4y = 11

Solving
6x + -4y = 11

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4y' to each side of the equation.
6x + -4y + 4y = 11 + 4y

Combine like terms: -4y + 4y = 0
6x + 0 = 11 + 4y
6x = 11 + 4y

Divide each side by '6'.
x = 1.833333333 + 0.6666666667y

Simplifying
x = 1.833333333 + 0.6666666667y

Answer 4

Given:
4x+5y=15

6x-4y=11

Step 1:

6(4x+5y=15)

4(6x-4y=11)

Step 2:

24x+30y=80

24x-16y=44

Step 3:
14Y=36

Step 4:
Y=2.57
Step 5:
4x+ 5(2.57)=15
4x=2.15
x=0.54

Answer 5

4x+5y=15 4x+5y=15
x=0 y=0
4(0)+5y=15 4x+5(0)=15
0+5y=15 4x+0=15
5y=15 4x=15
5y/5=15/5 4x/4=15/4
y=3 x=3.75
point 1- (0,3) point 2- (3.75,0)
graph these two pints in a graph and it will give you a line.
do the same for 6x-4y=11

Answer 6

Multiply the first equation by 4 and the second equation by 5:
16x+20y=60
30x-20y=55
=========
46x=115
x=115/46=
5/2

4(5/2)+5y=15
10+5y=15
5y=5
y=1

The solution set is (5/2,1)

Check:
4(5/2)+5(1)=15
10+5=15
15=15

6(5/2)-4(1)=11
15-4=11
11=11

Answer 7

4x + 5y = 15
x =15 -5y / 4

6x - 4y = 11
6(15 - 5y) -16y = 44
90 -30y -16y = 44
90 - 46y = 44
90 - 44 = 46y
46 = 46y
y = 1

x = 15 - 5*1 /4
x = 15-5 / 4
x = 10/4
x = 5/2

Answer 8

8x+7y=32 __(a million) -6x+3y=-24 ___(2) [multiply (a million) by potential of three and (2) by potential of four] 24x + 21y = ninety six __(3) -24x + 12y = -ninety six __(4) [upload (3) and (4)] 33y = 0 y = 0 [from (a million)] 8x + 7(0) = 32 8x = 32 x = 32/8 x = 4 so (x,y) = (4,0) ANS. (a)

Answer 9

equation 3: equation 1*3= 12x+15y=45
equation 4: equation 2*2= 12x-8y=22
3-4: 23y=23
so y=1
then 12x+15=45
12x=30
x=2.5

Answer 10

Hi,
4X+5Y=15 -->Multiply row by 6
6X-4Y=11 --->Multiply row by 4
----------------------------------------------
24X+30Y=90
24X-16Y=44
- + -
-----------------------
0+46Y=46 --> Y=1 & X=9

Regards,
hari