All categories

2 years ago

Find the solution to the system of equations by substitution. 2x - 2y = - 6 y= 2x

Mathematics

1 answer:

dusya [7]2 years ago

7 0

Answer:

x = -2

y = 2

Step-by-step explanation:

Take the value of x from the first equation: x = 2 − 2 y ( 1 ) , and substitute for x into the second: y = 2 ( 2 − 2 y ) + 6 solve for y ; y = 4 − 4 y + 6 y = 10 5 = 2 Substitute back into ( 1 ) and find x : x = 2 − 4 = − 2

You might be interested in

Last week Martha sold brownies. And cookies at a back sale she sold 60 bowlines and 42 cookies on Saturday and 28 brownies and 5

elena55 [62]

Answer:

Martha earns $65.6 over the weekend.

Step-by-step explanation:

Brownies sold by Martha on Saturday = 60

Cookies sold by Martha on Saturday = 42

Brownies sold by Martha on Sunday = 28

Cookies sold by Martha on Sunday = 54

Total brownies sold by Martha over the weekend = $60+28=88$

Total cookies sold by Martha over the weekend = $42+54=96$

Cost of a brownie = $0.20

Cost of a cookie = $0.50

Total cost of brownies sold over the weekend = $88\times \$0.20 = \$17.6$

Total cost of cookies sold over the weekend = $96\times \$0.50 = \$48$

∴ Total money Martha earned over the weekend = $\$17.6+\$48=\$65.6$ (Answer)

4 0

3 years ago

Consider the matrices -2 -1 1 4 1 A = B = 4 -2 4 -2 -2 4 -2 1 -1 (a) Verify that they are diagonalizable and that they commute.

Phoenix [80]

Answer:

Explanation to answers are shown in the attachment

Step-by-step explanation:

This is a long solution but the detailed step by step and appropriate mathematical manipulation has been done as shown in the attachment.

6 0

2 years ago

Find the midpoint of the segment ending in the points 0,9 and 5,1

Finger [1]

U se the midpoint formula to find the midpoint of the line segment.
(5/2,5) or (5,5/2) it’s one of them .gotta be I’m pretty sure it’s (5/2,5)

4 0

2 years ago

The ratio of students to adults on a field trip is 8 to 1. Which table correctly shows this ratio for each grade?

elena-14-01-66 [18.8K]

Answer:

The table C correctly shows the ratio 8:1 for each grade

Step-by-step explanation:

Let

x ----> the number of students

y ----> the number of adults

we know that

$\frac{x}{y}=\frac{8}{1}$

Verify each table

Table A

grade 6

$\frac{96}{88}=\frac{8}{1}$

Multiply in cross

$96(1)=8(88)$ ----> is not true

Table B

grade 6

$\frac{96}{104}=\frac{8}{1}$

Multiply in cross

$96(1)=8(104)$ ----> is not true

Table C

grade 6

\frac{96}{12}=\frac{8}{1}

Multiply in cross

$96(1)=8(12)$

$96=96$ ----> is true

grade 7

$\frac{120}{15}=\frac{8}{1}$

Multiply in cross

$120(1)=8(15)$

$120=120$ ----> is true

grade 8

\frac{136}{17}=\frac{8}{1}

Multiply in cross

$136(1)=8(17)$

$136=136$ ----> is true

therefore

The table C correctly shows the ratio 8:1 for each grade

Table D

grade 6

$\frac{96}{11}=\frac{8}{1}$

Multiply in cross

$96(1)=8(11)$ ----> is not true

3 0

2 years ago

Read 2 more answers

Need help ASAP :) the question is in the picture

nevsk [136]

55- 2v. Or also 55- (2xV)

5 0

2 years ago