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2 years ago

Solve the system of equations - 2x - y = 6 and — 7x - y = -4 by combining the equations.

Mathematics

1 answer:

Artyom0805 [142]2 years ago

6 0

Answer:

(2,-10)

x=2

y= -10

Step-by-step explanation:

To solve by combining the equations we first need to get everything in linear form.

For both equations we can simply just add y to both sides and then subtract the other number on the right side. Doing this gets us

-2x-6=y

-7x+4=y

We then set the two equations equal to each other and solve for y

-2x-6= -7x+4

add 7x and 6 to both sides and get

5x=10

x=2

Use this x value and plug it into any equation

let's do it on the first

-2(2)-y=6

Solve for y and get

-y=10

which means that

y= -10

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3 years ago

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s2008m [1.1K]

Answer:

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Step-by-step explanation:

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3 years ago

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2 years ago

Read 2 more answers

Samuel has to sell concert tickets worth at least $90. The price of a child ticket is $8, and the price of an adult ticket is $1

alina1380 [7]

Answer:

The second graph is correct, that the line intersects x at 6 and y at 11.5

Step-by-step explanation:

Samuel has to sell at least $90 for his concert. According to the graph, if Samuel sells only child ticket, he will have to sell 11.5 tickets.

If Samuel sells only adult tickets, he will have to sell at least 6.

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2 years ago

Which of the points listed below is not on the line with equation 7y+2=3x-5

kicyunya [14]

Answer: Second option.

Step-by-step explanation:

Given the folllowing Linear Equation:

$7y+2=3x-5$

You need to substitute the coordinates of each point given in the options into the equation and then evaluate.

1) Substituting $(2, -\frac{1}{7})$ into the equation, you get:

$7(-\frac{1}{7})+2=3(2)-5\\\\-1+2=6-5\\\\1=1\ (TRUE)$

2) Substituting the point $(3, -\frac{3}{7})$ . you get:

$7(-\frac{3}{7})+2=3(3)-5\\\\-3+2=9-5\\\\-1=4\ (FALSE)$

3) Apply the same procedure using the point $(1, -\frac{4}{7})$ :

$7(-\frac{4}{7})+2=3(1)-5\\\\-4+2=3-5\\\\-2=-2\ (TRUE)$

4) Apply the same procedure using the point $(-1, -\frac{10}{7})$

$7(-\frac{10}{7})+2=3(-1)-5\\\\-10+2=-3-5\\\\-8=-8\ (TRUE)$

5) Substituting $(0,-1)$ into the equation:

$7(-1)+2=3(0)-5\\\\-7+2=-0-5\\\\-5=-5\ (TRUE)$

Therefore, the point $(3, -\frac{3}{7})$ is not on the given line.

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2 years ago

Solve the system of equations - 2x - y = 6 and — 7x - y = -4 by combining the equations.​

Solve the system of equations - 2x - y = 6 and — 7x - y = -4 by combining the equations.