Solve each system of equations by substitution. List the ordered pair.

Mathematics

1 answer:

Anit [1.1K]4 years ago

8 0

Y=6x-11
-2x-3y=-7
-2x-3(6x-11)=-7
-2x-18x+66=-7
-20x=-73
x=3.65
y=6(3.65)-11=10.9

y=-3x+5
5x-4y=-3
5x-4(-3x+5)=-3
5x+12x=17
x=1
y=-3(1)+5=2

2x-3y=-1
y=x-1
2x-3(x-1)=-1
-x=-4
x=4
y=4-1=3

-3x-3y=3
y=-5x-17
-3x-3(-5x-17)=3
12x=-48
x=-4
y=-5(-4)-17=3

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3 years ago

Write an equation of the line below.

Lubov Fominskaja [6]

Answer (<u>assuming it can be in slope-intercept form)</u>:

$y = \frac{4}{5} x$

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula $m = \frac{y_2-y_1 }{x_2-x_1}$ and substitute the x and y values of two points on the line into it. We can see that the line passes through (0,0) and (5,4), so let's use those points for the formula and solve:

$m = \frac{4-0}{5-0} \\m = \frac{4}{5}$

So, the slope is $\frac{4}{5}$ .

2) Next, identify the y-intercept of the line. The y-intercept is the point at which the line intersects the y-axis. We can see that the line intersects the y-axis at (0,0), so that must be the y-intercept.

3) Now, write the equation of the line in slope-intercept form using the $y = mx + b$ format. The number in place of $m$ represents the slope, so substitute $\frac{4}{5}$ in its place. The number in place of $b$ represents the y-intercept, so substitute 0 in its place. This gives the following answer and equation: