All categories

3 years ago

Solve by using elimination.express answer as an ordered pair 2x-5y=-7 5x-3y=11

1 answer:

8 0

$2x-5y=-7 \ \ \ \ \ \ |\times (-5) \\
5x-3y=11 \ \ \ \ \ \ \ |\times 2 \\ \\
-10x+25y=35 \\
\underline{10x-6y=22 \ \ \ \ \ \ } \\
25y-6y=35+22 \\
19y=57 \\
y=\frac{57}{19} \\
y=3 \\ \\
2x-5y=-7 \\
2x-5 \times 3 =-7 \\
2x-15=-7 \\
2x=-7+15 \\
2x=8 \\
x=\frac{8}{2} \\
x=4 \\ \\ \boxed{(x,y)=(4,3)}$

You might be interested in

Nter the equation of the line in slope-intercept form.<br><br> Slope is 6, and (1, 3)

kupik [55]

Answer:

The equation in the slope-intercept form will be:

$y=6x-3$

Step-by-step explanation:

Given

slope = m = 6

point = (1, 3)

As we know that the equation of a line in point-slope form is

$y-y_1=m\left(x-x_1\right)$

substituting the values m = 6 and point = (1, 3)

$y-3=6\left(x-1\right)$

Writing the equation in slope-intercept form

$y=mx+b$

where m is the slope, and b is the y-intercept

so the equation of the line in slope-intercept form becomes

$y-3=6\left(x-1\right)$

add 3 to both sides

$y-3+3=6\left(x-1\right)+3$

$y=6x-3$

Therefore, the equation in the slope-intercept form will be:

$y=6x-3$

6 0

3 years ago

How many 1/12pieces are in 3/3?

wel

Answer:

plz ion know what is the awnser to mine

Step-by-step explanation:

5 0

3 years ago

A chef uses 4.5 cups of tomatoes to make each batch of pasta sauce. If t represents the number of cups of sauce, which equation

SashulF [63]

Answer: t=4.5x

Step-by-step explanation:

t=cups of tomatoes

x=batch(es) of pasta sauce

Example:

The chef wants to know how many tomatoes he needs to make 2 batches of pasta sauce.

x=2

So 4.5x2=9

Answer for the example is 9

6 0

3 years ago

Read 2 more answers

The measures of the angles of a triangle are in the ratio 2:3:4. In degrees, the measure of the largest angle of the triangle is

notsponge [240]

Since the three angles of a triangle add to give 180°

The the size of the largest angle 4 = 180° × $\frac{4}{2+3+4}$
= 180° × $\frac{4}{9}$

∴ the size of the largest angle = 80°

8 0

3 years ago

You spin the spinner given below, then flip a coin, then spin the spinner again. Find the probability ( as a fraction) of spinni

BartSMP [9]

Answer:

how many numbers are on the spinner?

3 0

3 years ago