How can you solve y=3x+2 and -4x+2y=8 with substitution

Mathematics

2 answers:

seraphim [82]2 years ago

7 0

Well, I can't explain how to solve but the answer is (2,8)

Xelga [282]2 years ago

7 0

We have:

$y=3x+2~~(i)\\\\ -4x+2y=8~~(ii)$

Substituting (i) in (ii):

$-4x+2y=8\\\\ -4x+2(3x+2)=8\\\\ -4x+6x+4=8\\\\ 2x+4=8\\\\ 2x=4\\\\ x=\dfrac{4}{2}\\\\ \boxed{x=2}$

Using the value obtained above in the expression (i):

$y=3x+2\\\\ y=3\cdot2+2\\\\ y=6+2\\\\ \boxed{y=8}$

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