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Advocard [28]
3 years ago
12

Solve the system of equations using substitution. y = x + 6 y = –2x – 3

Mathematics
2 answers:
telo118 [61]3 years ago
5 0

Answer:

x = -3

y= 3

Step-by-step explanation:

y =  x + 6 -----------------------(I)

y = -2x - 3 ---------------------(II)

Substitute y =x +6 in equation (II)

x + 6  = -2x - 3

Add 2x to both sides

x + 2x +6 = -3

Combine like terms

3x + 6 = - 3

Subtract 6 from both sides

3x = - 3 - 6

3x = -9

Divide both sides by 3

x = -9/3

x = -3

Plug in s = -3 in equation (I)

y = -3 + 6

y = 3

Assoli18 [71]3 years ago
4 0
Hope this helps! feel free to clarify

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Step-by-step explanation:

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8 0
3 years ago
Can you help me solve systems of equations by elimination step by step<br> 6x+y=15<br> -7x-2y=-10
Anna71 [15]

Answer:   (4, -9)

<u>Step-by-step explanation:</u>

Use elimination method.  Manipulate one (or both) equations to eliminate one of the variables and solve for the remaining variable.  <em>I will be eliminating y</em>

6x +  y =  15    → 2(6x +  y =  15)   →   12x + 2y = 30

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Next, replace "x" with "4" into either equation and solve for y.

6(4) + y = 15

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<u>Check:</u>

Plug in x = 4 and y = -9 into the other equation to verify it makes a true statement.

-7x - 2y = -10

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-28  -   -18  = -10

-28  +  18 = -10

       -10    =  -10  \checkmark

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