2x - y = 5

3x + 2y = 4

x=2 and y=-1

Step-by-step explanation:

2x-y=5

2x-y+-2x=5+-2x

-y=-2x+5

-y

-1

=

-2x+5

-1

y=2x-5

substitute 2x-5 for y in 3x+2y=4

3x+2y=4

3x+2 (2x-5) = 4

7x-10=4

7x-10+10=4+10 (Add 10 to both sides)

7x=14

7x

7

=

14

7

(Divide both sides by 7)

x=2

Substitute 2 for x in y=2x-5:

y=2x-5

y = (2) (2) - 5

y=-1 (Simplify both sides of the equation)

x = 2

y = - 1

Step-by-step explanation:

Using Substitution: 2x - y = 5 3x + 2y = 4

2x - y = 5

-y = - 2x + 5

y=2x - 5

3x + 2 (2x - 5) = 4 3x + 2y = 4

3x + (4x - 10) = 4 3 (2) + 2y = 4

7x - 10 = 4 6 + 2y = 4

7x = 14 2y = - 2

x = 2 y = - 1