2y+x=5 2y+3x=11 find the value of x and y?

Answer 1

2x = 6
x = 3
2y + 3 =5
2y = 2
y=1

in summary, x=3, y=1

Answer 2

This simultaneous linear equation is straightforward. If you look at the equations you can see that 2y + x = 5 may be subtracted from 2y + 3x = 11:
2y + 3x = 11 _
2y + x = 5
gives 2x = 6 therefore, x = 3.
In this knowledge, make y the subject of each of the 2 eqns:
2y = 11 - 3x so 2y = 11 - ( 3*3) = 2. If 2y = 2, y = 1.
2y = 5 - x so 2y = 5 - 3 = 2. y = 1.
The value of x is 3 & the value of y is 1. [answer].

Answer 3

2y+x=5 2y+3x=11 find the value of x and y?
If you need to ask, we had better show HOW

1st arrange so that you can add (or subtract) to remove
one variable (if needed multiply one by a factor Eg we could multiply the 2nd line by 3 and subtract to remove the X terms)

2y+3x=11
2y+x=5
=========
0 + 3x-x = 11-5

or 2x=6 Ie x=3

then with x=3 put that into one equation (substitute)
2y+3=5
2y=2
y=1

To perform a CHECK
put both answers into the OTHER equation

2y+3x=11
2(1) + 3(3) =11 which is does (so the answers are correct)

Answer 4

2y=5-x, -x=2y-5, x= -1(2y-5), -2(2y-5)=11, 4y+10=11, y=1, x= -1(2-5)=3 so x=3 y=1

Answer 5

Let's use elimination method.
2y+x=5 --------(1)
2y+3x=11-----(2)

(1)-(2)
2y+x-(2y+3x)=5-11
2y+x-2y-3x =-6
2y-2y+x-3x =-6
-2x=-6
x=3

From (1),
2y+x=5
2y+(3)=5
2y=5-3
2y=2
y=1

Answer 6

- 6y - 3x = - 15
2y + 3x = 11----ADD
- 4y = - 4
y = 1

2 + x = 5
x = 3

x = 3 , y = 1

Answer 7

y=1
x=3

Answer 8

2y+x=5
2y+3x=11

x=5-2y
2y+3(5-2y)=11
2y+15-6y=11
-4y+15=11
-4y=-4
-4y/-4=-4/-4
y=1


2(1)+x=5
2+x=5
x=3