Use substitution to solve the system. x=2y+5 2x-5y=11
2 answers:
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form: ( 3 , − 1 )
Equation Form: x = 3 , y = − 1
(I hope it helps ♡＾▽＾♡)
Answer:
(3, - 1 )
Step-by-step explanation:
Given the 2 equations
x = 2y + 5 → (1)
2x - 5y = 11 → (2)
Substitute x = 2y + 5 into (2)
2(2y + 5) - 5y = 11 ← distribute and simplify left side
4y + 10 - 5y = 11
10 - y = 11 ( subtract 10 from both sides )
- y = 1 ( multiply both sides by - 1 )
y = - 1
Substitute y = - 1 into (1) for corresponding value of x
x = 2(- 1) + 5 = - 2 + 5 = 3
Solution is (3, - 1 )
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