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professor190 [17]

3 years ago

11

A. Given the equation 4x + 7 = 3(2x − 5), solve for the variable. Explain each step and justify your process.

2 answers:

sleet_krkn [62]3 years ago

8 0

<span>A. Given the equation 4x + 7 = 3(2x − 5), solve for the variable.
</span>4x + 7 = 3(2x − 5)
<span>4x + 7 = 6x - 15 (distributive property of multiplication)
4x - 6x = -15 - 7 (transitive property)
-2x = -22
x = 11

B. Sam solved a similar equation below. Is Sam's solution correct? Explain why or why not.

5x − 1 = 2(x + 4)
5x − 1 = 2x + 8
7x − 1 = 8
7x = 7
x = 1

Sam's solution is incorrect, this is the correct solution
</span>5x − 1 = 2(x + 4)
5x − 1 = 2x + 8
5x − 2x = 8 + 1
3x = 9
x = 3

Tju [1.3M]3 years ago

3 0

I hope this helps you

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Danielle plans to graph the linear equation 5x-2y=10 by plotting the x-intercept and y-intercept.

lesya692 [45]

x-intercept is (2,0)

y-intercept is (0,-5)

Step-by-step explanation:

Danielle plans to graph the linear equation 5x-2y=10 by plotting the x-intercept and y-intercept.

Finding x-intercept

X-intercept: Substitute 0 for y and then solve for x. Write your answer in the form (__, 0)

Putting y=0

$5x-2y=10\\5x-2(0)=10\\5x=10\\x=10/5\\x=2$

So, x-intercept is (2,0)

Finding y-intercept

Y-intercept: Substitute 0 for x and then solve for y. Write your answer in the form (0, __)

Putting x=0

$5x-2y=10\\5(0)-2y=10\\-2y=10\\y=10/-2\\y=-5$

So, y-intercept is (0,-5)

Keywords: Solving Equations

Learn more about solving equations at:

#learnwithBrainly

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