solve the system using elimination 4x-7y=3

x-7y=15

5 answers

a{12/-5},{10/7}
b(-1,2)
c(6,3)
d[1,1/7]
4 x - 7 y = 3
-
x - 7 y = 15
___________

4 x - x - 7 y - ( - 7 y ) = 3 - 15

3 x = - 12

Divide both sides by 3

x = - 12 / 3

x = - 4

Replace x = - 4 in equation x-7y=15

- 4 - 7 y = 15

Add 4 to both sides

- 4 - 7 y + 4 = 15 + 4

- 7 y = 19

Divide both sides by - 7

y = 19 / - 7

y = - 19 / 7
Eq1: 4x - 7y = 3.
Eq2: x - 7y = 15.
subtract Eq2 from Eq1 to find X:
Diff.: 3x + 0 = -12,
X = -4.
In Eq2, replace X with -4 and solve for Y:
-4 - 7y = 15,
the answer is (6,3)
(6,3)
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