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Rom4ik [11]
3 years ago
13

Solve each system by substitution 2x - 3y = -1 X + 4y = -6

Mathematics
1 answer:
lord [1]3 years ago
3 0

Answer:

(- 2, - 1 )

Step-by-step explanation:

Given the 2 equations

2x - 3y = - 1 → (1)

x + 4y = - 6 → (2)

Rearrange (2) expressing x in terms of y by subtracting 4y from both sides

x = - 6 - 4y → (3)

Substitute x = - 6 - 4y into (1)

2(- 6 - 4y) - 3y = - 1 ← distribute and simplify left side

- 12 - 8y - 3y = - 1

- 12 - 11y = - 1 ( add 12 to both sides )

- 11y = 11 ( divide both sides by - 11 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = - 6 - 4(- 1) = - 6 + 4 = - 2

Solution is (- 2, - 1 )

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drek231 [11]

Answer:

y = 2x - 7

Step-by-step explanation:

To find the line equation we assume that its form is y = m*x + b. Where m is the slope and b is the independent variable that intercepts the Y axis.

If we have two points as P1=(x1,y1) and P2=(x2,y2) we can use the slope formula as:

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The points given are P1=(7,7) and P2=(2,-3), then the using the slope formula we obtain:

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2 years ago
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