Use substitution to solve each system of equations. y = 4x + 22 4x – 6y = –32
1 answer:
Answer:
(-5,2)
Step-by-step explanation:
The given system is
1st equation: y = 4x + 22
2nd equation: 4x – 6y = –32
We plug in the first equation into the second equation to obtain:
4x – 6(4x + 22) = –32
We expand the parenthesis to obtain:
4x – 24x -132= –32
Group similar terms;
4x – 24x = –32+132
Combine similar terms
-20x =100
Divide both sides by -20
x =-5
Put x=-5 into the 1st equation
y = 4(-5) + 22
y=-20+22
y=2
The solution is:
(-5,2)
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