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LUCKY_DIMON [66]
2 years ago
7

Solve the following equation, answer as a reduced, mixed number. Then place the correct number in the box provided.

Mathematics
2 answers:
qaws [65]2 years ago
4 0
7(x-2) + 3(x + 2) = 5(x-6)...distribute thru the parenthesis
7x - 14 + 3x + 6 = 5x - 30...combine like terms
10x - 8 = 5x - 30...subtract 5x from both sides
10x - 5x - 8 = -30....add 8 to both sides
10x - 5x = -30 + 8...combine like terms
5x = - 22
x = -22/5 = - 4 2/5 <==
liq [111]2 years ago
4 0

the correct answer is x = - 4 2/5

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Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is equal to 0)

<u>1) Determine the slope (m)</u>

m=\frac{y_2-y_1}{x_2-x_1} where two points that the line passes through are (x_1,y_1) and (x_2,y_2)

We're given the point (2,10) and the y-intercept of 4. Recall that the y-intercept occurs when x is equal to 0. This means that the y-intercept occurs at (0,4), giving us our second point.

Plug these points into the equation

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Therefore, the slope of the line is 3. Plug this into y=mx+b

y=3x+b

<u>2) Determine the y-intercept (b)</u>

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I hope this helps!

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