Share
Use substitution to solve the following system of equations. -10x + 2y = 20 AND y = 3x + 2 pls pls help!
Question
Use substitution to solve the
following system of equations.
-10x + 2y = 20 AND y = 3x + 2
pls pls help!
in progress
0
Mathematics
3 years
2021-08-27T04:47:36+00:00
2021-08-27T04:47:36+00:00 1 Answers
5 views
0
Answers ( )
Answer:
(- 4, – 10 )
Step-by-step explanation:
Given the 2 equations
– 10x + 2y = 20 → (1)
y = 3x + 2 → (2)
Substitute y 3x + 2 into (1)
– 10x + 2(3x + 2) = 20 ← distribute parenthesis and simplify left side
– 10x + 6x + 4 = 20
– 4x + 4 = 20 ( subtract 4 from both sides )
– 4x = 16 ( divide both sides by – 4 )
x = – 4
Substitute x = – 4 into (2) for corresponding value of y
y = 3(- 4) + 2 = – 12 + 2 = – 10
solution is (- 4, – 10 )