2 years ago

Solve each of the following system of equations by substitution!!! x-5y=-49 y=-2x+1

Mathematics

1 answer:

saul85 [17]2 years ago

8 0

Answer:

(-4,9)

Step-by-step explanation:

substitute the given value for y into the first equation

x-5(-2x+1)=-49

distribute

x+10x-5=-49

add like terms

11x-5=-49

add 5 to both sides

11x=-44

divide both sides by 11

x=-4

now plug x into into the second equation

y=-2(-4)+1

y=8+1

add like terms

y=9

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Answer:

$y = \frac{1}{4}x - 5$

Step-by-step explanation:

Slope intercept form: y = mx + b

Find slope:

m = (y₂ - y₁) / (x₂ - x₁)

= (-5 - (-4)) / (0 - 4)

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Find y intercept using anyone of the given points and slope from above:

y = mx + b

$-5 = \frac{1}{4}(0) + b$

b = -5

Now use the above slope and y intercept to create equation of a line:

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