Question

Solve each system of equation by substitution y=-x+5 x+2y=2​

Answer 1

Answer:

$x = 8$

$y = -3$

Step-by-step explanation:

Given :

$y = -x + 5$ ...................... equation 1

$x + 2y = 2$ ........................ equation 2

solving the system of linear equation by substitution method , substitute equation 1 into equation 2 , that is

$x + 2(-x+5) = 2$

$x - 2x + 10 = 2$

$-x + 10 = 2$

collect the like terms

$10 - 2 = x$

therefore :

$x = 8$

substitute $x = 8$ into equation 1 to find the value of y , that is

$y = -8 + 5$

$y = -3$

Therefore :

$x = 8$

$y = -3$