Question

Solve the system of equations by substitution. What is the solution for x?

2x + y = 1
4x + 2y = −2

Answer 1

use the method of substitution

Answer 2

can u show me step bby step

Answer 3

2x + y = 1
y = 1 - 2x
sub that into the other equation

4x + 2y = −2
becomes
4x + 2(1 - 2x) = −2

Answer 4

now just solve for x, and then sub x into one of the equations to solve for y

Answer 5

x = 0

x = 2

There is no x value as there is no solution.

x can be any value as there is an infinite number of solutions.

Answer 6

its just simple algebra

Answer 7

solve for y in the first equation.

subtract 2x from both sides
2x-2x+y=1-2x
y=1-2x

subtitute into second eqn
4x+2(1-2x)=-2
distribute
combine like terms
solve for x
and substitute again to find y.

Answer 8

oooo answer is no ssolution

Answer 9

right??

Answer 10

2x + y = 1
4x + 2y = −2

Using the 1st equation
2x + y=1
y=1-2x
put the value of y in 2nd question,
4x+2y=-2
4x+2(1-2x)=-2
4x-4x+2=-2
you get +2=-2
so this equation has infinite solutions