2 years ago

Find the x - and y-intercepts of the graph of the linear equation –6x + 9y = -18

Mathematics

1 answer:

natulia [17]2 years ago

4 0

Answer:

x-intercept = -6 y-intercept = 9

Step-by-step explanation:

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How many solutions does this linear system have? y = y equals StartFraction 2 over 3 EndFraction x plus 2.x+ 2 6x – 4y = –10

Ira Lisetskai [31]

Answer:

The system has one solution

Step-by-step explanation:

we have the system of equations

$y=\frac{2}{3}x+2$ ----> equation A

$6x-4y=-10$ ----> equation B

Solve the system by substitution

substitute equation A in equation B

$6x-4(\frac{2}{3}x+2)=-10$

$6x-\frac{8}{3}x-8=-10$

Solve for x

Multiply by 3 both sides to remove the fraction

$18x-8x-24=-30$

Combine like terms

$10x=-30+24$

$10x=-6$

$x=-\frac{6}{10}$

Simplify

$x=-\frac{3}{5}$

<em>Find the value of y</em>

$y=\frac{2}{3}(-\frac{3}{5})+2$

$y=-\frac{6}{15}+2$

$y=\frac{24}{15}$

Simplify

$y=\frac{8}{5}$

The solution of the system is the point $(-\frac{3}{5},\frac{8}{5})$

therefore

The system has one solution

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3 years ago

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Step-by-step explanation:

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William buys a basket of pomegranates on sale for $10 before tax. The sales tax is 17% What is the total price William pays for

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$11.7 is the total price.
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A piece of plywood was cut so it’s length was 8 feet my 4 feet. What was the area of the wood?

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Answer is 32 because area means length times width. (:

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