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Mathematics, 12.06.2021 05:20 eliza35

-4x+6y=-18 and y=-2x+21

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Answer from: BePaige

(9, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Coordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-4x + 6y = -18

y = -2x + 21

Step 2: Solve for x

Substitution

Substitute in y [1st Equation]: -4x + 6(-2x + 21) = -18[Distributive Property] Distribute 6: -4x - 12x + 126 = -18[Subtraction] Combine like terms: -16x + 126 = -18[Subtraction Property of Equality] Subtract 126 on both sides: -16x = -144[Division Property of Equality] Divide -16 on both sides: x = 9

Step 3: Solve for y

Substitute in x [2nd Equation]: y = -2(9) + 21Multiply: y = -18 + 21Add: y = 3

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Answer from: lydia1melton

x=9, y=3

Step-by-step explanation:

For this problem, you can sub the second equation for y in the first one.

This gives -4x+6(-2x+21)=-18, which can be expanded to -4x-12x+126=-18.

From there, you can collect like terms to get -16x+126=-18.

Subtracting 126 from both sides gives -16x=-144.

You want to isolate x by dividing both sides by -16, giving x=9.

You can sub 9 for x in either equation to work out y (I'm using the second one, as it is easier).

This gives y=-2×9+21, which can be solved to y=-18+21, or y=3.

**This question involves solving linear equations, which you may wish to revise. I'm always happy to help!

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Answer from: Quest

Cis the correct answer
The graph below could be the graph of which exponential function?

The graph below could be the graph of which exponential function?

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Answer from: Quest

Distributive property

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