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matrenka [14]
3 years ago
12

Please help me solve these equations. Very confusing.

Mathematics
1 answer:
Tresset [83]3 years ago
5 0

Step-by-step explanation:

1A (3,-2)

1B

By substitution

4x - 3y = 18 \\ 2x + y = 4 \\ y = 4 - 2x \\ 4x - 3(4 - 2x) = 18 \\ 4x - 12 + 6x = 18 \\ 10x = 30 \\ x = 3 \\ y = 4 - 2(3) \\ y = 4 - 6 =  - 2

1C

By elimination

(4x - 3y = 18)  -2 \times   (2x + y = 4)  \\( 4x - 3y = 18) - (4x  +  2y = 8) \\  - 5y = 10 \\ y =  - 2 \\ 4x - 3 \times ( - 2) = 18 \\ 4x  + 6 = 18 \\ 4x = 12 \\ x = 3

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Andreyy89

Answer:

<h2>x = -347 1/2</h2>

Step-by-step explanation:

When solving algebra, it is important the we follow the steps in correct order and check our answer at the end.

Step 1: Simplify by combining like terms

y = -x/2 + 5/4 + 8y = -25

Step 2: Substitute

y = -25

-25 = -x/2 + 5/4 + 8(-25)

-25 = -x/2 + 5/4 + -200

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Step 3: Answer

x = -347 1/2

Step 4: Check

y = 3/2x + 5/4 −2x + 8y = −25

-25 = 3/2(-347 1/2) + 5/4 −2(-347 1/2) + 8(-25)

-25 = -25✔️

Step 5: Verified Answer

x = -347 1/2

I'm always happy to help :)

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