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2 years ago

14

The sum of two numbers is 956. One is 94 less than 6 times the other. write an equation for the first sentence and second. Then

solve the system of equations.

1 answer:

Setler79 [48]2 years ago

5 0

Answer:

Step-by-step explanation:

suppose the first one is x. so the other one should be 6x-94 (as said).

so : x+6x-94 = 956 . then 7x -94 = 956 . then 7x = 1050 . so x = 1050/7 . then

x = 150

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Find the x and y intercepts 5y + 3x = 15

Tomtit [17]

First, find the x-intercept.

The x-intercept will be at the point (x, 0) where x is any real number. If we substitute the x-coordinate and the y-coordinate for the x and y variables in the equation, we can solve for x.

5y + 3x = 15
5(0) + 3x = 15
3x + 15
x = 5

We found the x-intercept now find the y-intercept with the same process.

The y-intercept will be at the point (0, y) where y is any real number.

5y + 3x = 15
5y + 3(0) = 15
5y = 15
y = 3

So, the x-intercept is (5, 0) and the y-intercept is (0, 3)

8 0

2 years ago

What is the equation in slope-intercept from of the line that passes through the points (-4,47) and (2,-16

Harrizon [31]

Answer:

<h3>Y=-21/2x+5</h3>

Step-by-step explanation:

<u><em>SLOPE FORMULA:</em></u>

y₂-y₁/x₂-x₁=rise/run

<u><em>SLOPE-INTERCEPT FORM:</em></u>

y=mx+b

m represents the slope.

b represents the y-intercept.

y₂=(-16)

y₁=47

x₂=2

y₁=(-4)

Solve.

$\displaystyle \mathsf{\frac{(-16)-47}{2-(-4)}=\frac{21}{6}=\frac{21}{2}=-\frac{21}{2} }}$

Furthermore, the y-intercept is 5.

y=-21/2x+5

The correct answer is y=-21/2x+5.

6 0

3 years ago

Roman solved the equation 5a+2b=10 for a. His steps are shown below. 1. Subtract 2b: 5a+2b-2b=10-2b 2. Multiply by 5: 5a+10-2b W

VladimirAG [237]

Answer:

In step 2, he needed to divide both sides of the equation by 5

Step-by-step explanation:

we have

$5a+2b=10$

Solve for a------> That means isolate the variable "a"

step 1

Subtract 2b to both sides

$5a+2b-2b=10-2b$

$5a=10-2b$

step 2

Divide by 5 both sides

$5a/5=(10-2b)/5$

$a=(10-2b)/5$

3 0

2 years ago

Read 2 more answers

Please help! I’ll give you brainliest immediately

kodGreya [7K]

For the lines to be parallel the two angles need to be equal to each other:

128-x = x

Add 1x to both sides

128 = 2x

Divide both sides by 2:

X = 128/2

X = 64

Answer: x = 64

3 0

2 years ago

In the diagram below , tan theta =square root 3. What is the value of m?

vova2212 [387]

Answer:

$m=\frac{\sqrt{3}}{2}$

Step-by-step explanation:

we know that

In the diagram

$tan(\theta)=\frac{m}{1/2}=2m$

$tan(\theta)=\sqrt{3}$

Equate

$2m=\sqrt{3}$

$m=\frac{\sqrt{3}}{2}$

7 0

3 years ago