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3 years ago

What is the solution to the system of equations?

Mathematics

1 answer:

alukav5142 [94]3 years ago

6 0

Answer:

(x, y) = (-4, 15)

Step-by-step explanation:

The two equations have the same coefficient for y, so you can eliminate y by subtracting one equation from the other. Here the x coefficient is largest for the first equation, so it will work best to subtract the second equation.

(3x +y) -(2x +y) = (3) -(7)

x = -4 . . . . . . . . simplify

Now, we can find y by substituting this value for x.

2(-4) +y = 7

y = 7 +8 = 15 . . . . . add 8 to both sides of the equation

The solution is (x, y) = (-4, 15).

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We will use PEMDAS rule to simplify the given expression.

PEMDAS rule is given by:

P
-Parentheses first

E
-Exponents (ie Powers and Square Roots, etc.)

MD-Multiplication and Division (left-to-right)

AS
-Addition and Subtraction (left-to-right)
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Step 1: P-parenthesis first.

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Step 2:

Multiplying (-3)*(-6)*2

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