Mathematics, 25.07.2021 01:30 lelliott86

Solve the following system of equations using the substitution method. y = -5x - 17
-3x - 3y = 3
O A) (-4,-3)
B) (-4,3)
C) (4,3)
D) (4,-3)

Answers

Answer from: yasmin7813

$\boxed {\boxed {\sf (B. \ -4, 3)}}$

Step-by-step explanation:

We are given 2 equations and asked to solve the system of equations using the substitution method.

The 2 equations are:

$y= -5x-17 \\-3x-3y= 3$

The first equation is already solved for y, so we can substitute -5x-17 (the expression that y is equal to) into the second equation.

-3x-3(-5x-17)=3

Solve for x by isolating the variable. First, distribute the -3. Multiply each term in parentheses by -3.

$-3x + [ (-3*-5x ) \ + \ (-3* -17)]$

-3x + [15x + 51]= 3

-3x+15x+51=3

Combine like terms. -3x and 15x can be added because both terms contain the variable x.

12x+51=3

51 is being added to 12x. The inverse operation of addition is subtraction. Subtract 51 from both sides of the equation.

12x+51-51=3-51

12x= -48

x is being multiplied by 12. The inverse operation of multiplication is division. Divide both sides by 12.

$\frac {12x}{12}= \frac{-48}{12}$

x= -4

Now that we have solved for x, we must find y. We know that x is equal to -4, so we can substitute -4 in for x in the first equation.

y= -5x-17

y= -5(-4)-17

Multiply.

y=20-17

Subtract.

y=3

Coordinate points are written as (x, y), so the solution to this system of equations is (-4, 3)

Answer from: Quest

step-by-step explanation:

Answer from: Quest

If you need an equation, it would be y=2x+8, y would be how long it grew, x being weeks.if you need how long he was asleep, it would be 4 weeks if he started with no beard, the equation would be x=8÷2if he did have a beard before hand, the equation would be 2w+x=8

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Solve the following system of equations using the substitution method. y = -5x - 17
-3x - 3y...