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3 years ago

Given : 2x+8=5x-13; prove x=7

Mathematics

2 answers:

spayn [35]3 years ago

8 0

Step-by-step explanation:

If we want to prove that x is equal to seven, we should first solve the equation for x so:

2x + 8 = 5x - 13

We should first add 13 on both sides and subtract 2x from both sides:

2x + 8 + 13 - 2x = 5x - 13 + 13 - 2x

21 = 3x

We can then divide both sides by 3 to get:

x = 7

solmaris [256]3 years ago

7 0

Answer:

True

Step-by-step explanation:

The left side 22 is equal to the right side 22 , which means that the given statement is always true.

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Solve for y for both questions

vredina [299]

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3 years ago

What is the equation of the line with a y-intercept of 4 and a point (8,8)?

Nookie1986 [14]

Answer:

The equation of the line with a y-intercept of 4 and a point (8,8) is $y=\frac{1}{2} *x+4$

Step-by-step explanation:

A linear equation can be expressed in the form

y = m * x + b

where x and y are coordinates of a point, m is the slope and b is the y-intercept. Since this equation describes a line in terms of its slope and its y-intercept, this equation is said to be in its slope-intercept form.

Graphically this equation represents a line.

In this case, you know:

The point (x,y)=(8,8)
Y-intercept= 4

Replacing:

8=m*8 +4

Solving:

8-4=m*8

4=m*8

4÷8= m

$m=\frac{1}{2}$

Then, the equation of the line with a y-intercept of 4 and a point (8,8) is $y=\frac{1}{2} *x+4$

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