Question

Item 2 Order the steps in solving the system of linear equations by substitution. y is equal to 2 x minus 5 $y=2x-5$ negative x plus y is equal to 2 $-x+y=2$

Answer 1

x = 7 ; y = 9

Explanation:

Given the system of equation :

y = 2x - 5 - - - (1)

-x + y = 2 ___(2)

From (1)

y = 2x - 5

Put y = 2x - 5 into (2)

-x + 2x - 5 = 2

-x + 2x = 2 + 5

x = 7

We can then solve for y;

Substituting x = 7 into. Equation (1)

y = 2x - 5

y = 2(7) - 5

y = 14 - 5

y = 9

Hence ;

x = 7 ; y = 9