Mathematics, 18.12.2019 12:31 truesarah111

What is the solution to the system of equations?

use the substitution method.

y=−3x+1

2x+5y=18

enter your answer in the boxes.

What is the solution to the system of equations? use the substitution method.

Answers: 3

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Answer from: maxgeacryne2199

(-1, 4)

Step-by-step explanation:

It is convenient to use the expression for y that the first equation gives. Put that in the second equation.

2x +5(-3x+1) = 18

2x -15x +5 = 18 . . . . eliminate parentheses

-13x = 13 . . . . . . . . . . collect terms, subtract 5

x = -1 . . . . . . . . . . . . . divide by -13

Now, we can use this value of x in the first equation to find y.

y = -3(-1) +1 = 4

The solution is (x, y) = (-1, 4).

Answer from: miya2579

(-1, 4)

Step-by-step explanation:

What you do is it tells you to use the substitution method so you take the first equation and substitute it into the y in the second equation.

2x+5(-3x+1)=18

2x-15x+5=18

-13x+5=18

-13x=13

x=-1.

You will then take the -1 and put it into the x in the first equation to get y.

y=-3(-1)+1.

y=3+1

y=4.

(-1, 4) is your answer.

Answer from: Quest

Iam guessing c. or d.

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

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What is the solution to the system of equations?

use the substitution method.

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