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3 years ago

Y = x + 1 and y = -1/2 x +4 what is the solution

Mathematics

2 answers:

Sergeeva-Olga [200]3 years ago

3 0

Y=x+1
y=-1/2x+4
y=y
x+1=-1/2x+4
1x+1/2x+1=4
3/2x=4-1
3/2x=3
x=3/(3/2)
x=2

djverab [1.8K]3 years ago

3 0

x+1 = -1/2x+4

subtract x from both sides

1=-1 1/2x +4

subtract 4 from each side

-3 = - 1 1/2x

divide both sides by -1 1/2

x= 2

check the answer:

2+1 =3

-1/2(2) +4 = 3

so X = 2

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What value of R makes r/ -11 = (-3) true

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Answer:

The value of $r=33$ which makes the equation true.

Step-by-step explanation:

Given the equation

$\frac{r}{-11}=-3$

We have to find the value of r for which the equation must be true.

solving the equation

$\frac{r}{-11}=-3$

Multiply both sides by -11

$\frac{r\left(-11\right)}{-11}=\left(-3\right)\left(-11\right)$

$r=33$

Therefore, the value of $r=33$ which makes the equation true.

<u>VERIFICATION:</u>

Putting $r=33$ in the equation

$\frac{r}{-11}=-3$

$\frac{33}{-11}=-3$

$-3=-3$ ∵ $\frac{33}{-11}=-3$

L.H.S = R.H.S

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2 years ago

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Step-by-step explanation:

Let x and y be the two numbers we are looking for:

The statement “their sum is 29” means x + y = 29

The statement “their difference is 15” means x - y = 15

we get this system:

x + y = 29 (1)

x - y = 15 (2)

Let’s solve it :

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Now we replace x by 22 in equation (1) :

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2 years ago