Question

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

Answer 1

Answer:

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

Answer 2

Answer:

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)