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Nata [24]
3 years ago
5

Use the substitute method to solve the system of equations.

Mathematics
1 answer:
Marizza181 [45]3 years ago
3 0

Answer:

B

Step-by-step explanation:

Put the second y into the first equation

3x + y = 10                           substitute for y

3x + 6x + 1 = 10                    Combine like terms on the left

9x + 1 = 10                             Subtract 1 from both sides

9x = 10 - 1                              Combine the right.

9x = 9                                    Divide by 9

x = 9/9                                   Divide

x = 1

The answer is right there. Only B is possible

y = 6x + 1

y = 6(1) + 1

y = 6 + 1

y = 7

Answer B

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Find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3). express answer in standard form
Anestetic [448]

Answer:

Final answer is x-6y=23

Step-by-step explanation:

We need to find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3).

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x+5=6y

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Compare given equation with y=mx+b

we get: m=1/6

We know that parallel equations has equal slope.

Then slope of required line m=1/6

Now plug the given point (5,-3) and slope m=1/6 into point slope formula:

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y+3=\frac{1}{6}x-\frac{5}{6}

y=\frac{1}{6}x-\frac{5}{6}-3

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Now we need to rewrite that equation in standard form. Ax+By=C.

6y=x-23

x-23=6y

x-6y=23

Hence final answer is x-6y=23

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