Use the substitution method to solve the given system of equations. Write your answer as an ordered pair, (x, y).
2 answers:
2x - 2y = -2
x - 4y = 5
In x -4y =5, add 4y to both sides to get x = 4y +5
Now substitute that equation for x in the first equation:
2x - 2y = -2
2(4y +5) - 2y = -2
Simplify:
8y +10 - 2y = -2
Combine like terms:
6y +10 = -2
Subtract 10 from both sides:
6y = -12
Divide both sides by 6:
y = -12 /6
y = -2
Now you have y, substitute y in the second equation to solve for x:
x - 4y = 5
x -4(-2) = 5
Simplify:
x+8 = 5
Subtract 8 from both sides:
x = -3
Now you have x = -3 and y = -2
The answer is (-3,-2)
Answer:
(-3, -2)
Step-by-step explanation:
Look at the second equation, we can easily rearrange it to make x the subject.
x - 4y = 5
x = 4y + 5
Now lets put that into the second equation
2x - 2y = -2
2(4y + 5) - 2y = -2
6y + 10 = -2
6y = -12
y = -2
Now lets find x!
x = 4y + 5
x = 4(-2) + 5
x = -3
Now lets format the answer like the question says (ordered pair)
(-3, -2)
Recap: We used substitution and made an equation to work out one of the variables first, then found the second variable using the first.
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