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3 years ago

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Solve the system of linear equations by graphing. y = –5/2 x – 7 x + 2y = 4 What is the solution to the system of linear equatio

ns?
A(–4.5, 4.25)
B(–1.7, –2.8)
C(0, –7)
D(3, 0.5)

2 answers:

Andrei [34K]3 years ago

6 0

Answer:

(–4.5, 4.25)

Step-by-step explanation:

Anestetic [448]3 years ago

4 0

Keywords

system; linear equations; graphing; solution

we have

$y=-\frac{5}{2}x-7$ -------> equation A

$x+2y=4$

$x=4-2y$ ----> equation B

The <u>system</u> of <u>linear equations</u> is composed of equation A and equation B

Substitute the equation B in equation A

$y=-\frac{5}{2}[4-2y]-7$

$y=-10+5y-7$

$4y=17$

$y=17/4=4.25$

Find the value of x

$x=4-2[17/4]=-4.5$

The<u> solution</u> is the point $(-4.5,4.25)$

Using a <u>graphing</u> tool

see the attached figure

therefore

the answer is the option A

$(-4.5,4.25)$

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He needs to sell the rest of the oranges at 75 paisa each.

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3 years ago

Algebra 1 question 4.

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The first, consecutive, odd number: $x$

The second, consecutive, odd number: $x+2$

The third, consecutive, odd number: $x+4$

The fourth, consecutive, odd number: $x+6$

The sum of the values are equal to 3 times the sum of the first two numbers, of which this is equal to 35 less than the fourth number. Let's create an equation to simplify this:

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Distribute the parenthesis (utilizing the distributive property)

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Simplify both sides:

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Add -6 and -x to both sides of the equation:

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Divide both sides of the equation by 5:

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If $x$ is equal to -7:

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The four numbers are:

$\boxed{-7,-5,-3,-1}$

I hope this helps!

-Benjamin

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