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TEA [102]
2 years ago
8

Solve the system of equations using elimination 3c - 8d =7 and c + 2d = -7

Mathematics
2 answers:
Bezzdna [24]2 years ago
6 0

Given.

(3c-8d=7)=(c+2d=-7)

Multiply 4 to the second equation.

4(c+2d=-7)

3c+8d=-28

Compare the like terms.

4c+3c-8d+8d=7-28

Solve.

7c=-21

Divide 7 to both sides

\frac{7c}{7}=\frac{-21}{7}

c=-3

Substitute (-3) for c into the original second equation.

c+2d=-7

-3+2d=-7

Add (3) to both sides.

(-3+2d=-7)+3

2d=-4

Divide (2) to both sides.

\frac{2d}{2}=\frac{-4}{2}

d=-2

Check your work.

3(-3)-8(-2)=7

-9+16=7

7=7

c+2d=-7

-3+2(-2)=-7

-3-4=-7

-7=-7

Therefore your answer is.

c=-3\\d=-2

mario62 [17]2 years ago
3 0

Answer:

d=-2 c=-3

Step-by-step explanation:

3c-8d=7

4(c+2d=-7)

3c-8d=7

4c+8d=-28

4c+3c-8d+8d=7-28

7c=-21

c=-3

c+2d=-7

-3+2d=-7

2d=-4

d=-2

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