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3 years ago

What is the solution to the system of equations shown below?

Mathematics

1 answer:

Alexxandr [17]3 years ago

7 0

Answer:

b. (1, 3, -2)

Step-by-step explanation:

A graphing calculator or scientific calculator can solve this system of equations for you, or you can use any of the usual methods: elimination, substitution, matrix methods, Cramer's rule.

It can also work well to try the offered choices in the given equations. Sometimes, it can work best to choose an equation other than the first one for this. The last equation here seems a good one for eliminating bad answers:

a: -1 -5(1) +2(-4) = -14 ≠ -18

b: 1 -5(3) +2(-2) = -18 . . . . potential choice

c: 3 -5(8) +2(1) = -35 ≠ -18

d: 2 -5(-3) +2(0) = 17 ≠ -18

This shows choice B as the only viable option. Further checking can be done to make sure that solution works in the other equations:

2(1) +(3) -3(-2) = 11 . . . . choice B works in equation 1

-(1) +2(3) +4(-2) = -3 . . . choice B works in equation 2

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KengaRu [80]

Answer:

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Step-by-step explanation:

Question 1)

Two lines, with their corresponding equations are given and we have to find the solution to the system of equations.

The given lines are:

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Question 2)

The given equations are:

y = 1.5x - 1 Equation 1

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We can solve these equations by method of substitution.

Substituting the value of y from Equation 2, in Equation 1, we get:

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Answer:

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Step-by-step explanation:

Here,

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Step-by-step explanation:

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Step-by-step explanation:

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