Question

Solve the following equation for x: y = 2 x-5 , x + y = 4

Answer 1

(3,1)

Explanation:

Y=2x-5

x+y=4

substitute the answer for y in the first equation (2x-5) with the y in the second equation

x+(2x-5)=4

x+2x-5=4

3x-5=4

add 5 to both sides to isolate 3x

3x=9

x=3

To find y, replace x in either of the original equations and solve for y.

x+y=4

3+y=4

y=1

so, x=3, y=1

chech answer by subbing x and y values into either original equation.

y=2x-5

1=2(3)-5

1=6-5

1=1

or

x+y =4

3+1=4

4=4