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rusak2 [61]
3 years ago
8

Find the solution to the system of equations by substitution. x = y + 1 4x + 3y = -31

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
8 0
X = y + 1...so sub in y + 1 for x in the other equation

4x + 3y = -31
4(y + 1) + 3y = -31...distribute thru the parenthesis
4y + 4 + 3y = -31...subtract 4 from both sides
4y + 3y = -31 - 4....combine like terms
7y = - 35...divide both sides by 7
y = -35/7
y = - 5

now sub -5 in for y in either of the original equations to find x
x = y + 1
x = -5 + 1
x = -4

solution is (-4,-5)


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D
E
F


Work
So the answer to the original problem:
6-4.5 +(-8) equals -1.5
D,E,and F all yeild this answer.

Another way to do it is to simply rearrange the equation 

D:
6-4.5 +(-8)
6-4.5-8
your just removing the parenthesis and swapping the sign

E:
6+(-4.5) -8
is the exact same as
6-4.5 +(-8)
you're just moving the parenthesis

F:
This one you're just adding a parenthesis and flipping the of
6-4.5 +(-8)
which turns it into
6+(-4.5)+(-8)

Hope this helps!

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