Respuesta :
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)
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