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jolli1 [7]
2 years ago
9

How many solutions does the following equation have?

Mathematics
2 answers:
DanielleElmas [232]2 years ago
8 0

Answer:

B. Exactly One Solution

Step-by-step explanation:

Given:

7(y+3)=5y+8

Expand the brackets:

\implies 7y + 21 = 5y + 8

Subtract 21 from both sides:

\implies 7y + 21-21 = 5y + 8-21

\implies 7y=5y-13

Subtract 5y from both sides:

\implies 7y-5y=5y-13-5y

\implies 2y=-13

Divide both sides by 2:

\implies \dfrac{2y}{2}=\dfrac{-13}{2}

\implies y=-\dfrac{13}{2}

Therefore, the equation has <u>exactly one solution.</u>

dedylja [7]2 years ago
3 0
B. Exactly one solution

7y +21 = 5y +8
7y +13=5y
13=-2y
-6.5=y
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ruslelena [56]

Answer:

y = 4x - 9

Step-by-step explanation:

The points on the graph we can see clearly are (1, -5) and (2, -1).

The equation of the line is in the form <u>slope-intercept</u>, where the general formula is y = mx + b.

We need to find "m", the slope of the line; and "b", the y-intercept.

Use the two points we found in the formula for calculating slope m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}.

Choose which is point 1 and point 2:

Point 1 (1, -5)    x₁ = 1   y₁ = -5

Point 2 (2, -1)   x₂ = 2  y₂ = -1

Substitute x₁, x₂, y₁, and y₂

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=\frac{-1-(-5)}{2-1}       Solve in the numerator and denominator

m=\frac{4}{1}        Simplify the fraction

m=4           Slope of the line

Find "b":

Substitute a point's "x" and "y" coordinates, and the slope, "m", into the general formula for slope-intercept.

I will use point 2:

x = 2; y = -1; m = 4

y = mx + b

-1 = (4)(2) + b         Multiply

-1 = 8 + b            Start isolating "b"

-1 - 8 = 8 - 8 + b            Subtract 8 from both sides

-1 - 8 = b           "b" is isolated

b = -9           Answer for "b", y-intercept.

The variable should be on the left side for standard formatting.

Take the general formula: y = mx + b

Replace "m" and "b" with the values we found.

y = 4x - 9

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2 years ago
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Answer:

Step-by-step explanation:

the answer is D.

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3 years ago
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Paha777 [63]
It means "These are on the list, but they're not the only ones; there are others too."
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What is the missing value of 5x-2y=30 (8,)
AnnZ [28]

Answer:

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7 0
3 years ago
To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line repr
BARSIC [14]
Hi there! The slope of the line is -2/5.

We can determine the slope of a line by dividing the change of y-coordinates by the change of x-coordinates.

In this situation we have a...
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