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2 years ago

3x + y = -3 y = x + 5 Substitution pls show solving

Mathematics

2 answers:

Dennis_Churaev [7]2 years ago

7 0

Answer:

( -2, 3 )

Step-by-step explanation:

3x + y = -3

y = x + 5

Since "y" has been given to us, all we need to do is substitute.

3x + x + 5 = -3

Combine like terms

4x + 5 = -3

Subtract 5 onto both sides

4x + 5 - 5 = -3 - 5

4x = -8

Divide by 4 into both sides to isolate the variable

4x/4 = -8/4

x = -2

Now that we have x ( -2 ), we can substitute that to get what y is.

y = x + 5

y = -2 + 5

y = 3

( x, y ) ---> ( -2, 3 )

Hope this helped!

Have a supercalifragilisticexpialidocious day!

dem82 [27]2 years ago

4 0

3x + y = -3
Substitute y = x + 5 in the ‘y’ spot in the 3x + 7 = -3 equation

3x + y = -3
3x + x + 5 = -3
combine liked terms
4x + 5 = -3
-5 on both sides
4x = -8
/4 on both sides
x = -2

Answer:
x = -2

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1 year ago

2. IQS = 4 and QR is a perpendicular bisector of TS , determined which of the following claims is true

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Answer:

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Step-by-step explanation:

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brilliants [131]

Answer:

(12,-6)

Step-by-step explanation:

we have

$y\leq \frac{4}{3}x+5$ ----> inequality A

$y\geq -\frac{5}{2}x+5$ ---> inequality B

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

Verify each point

Substitute the value of x and the value of y of each ordered pair in the inequality A and in the inequality B

case 1) (0,-1)

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$-1\leq \frac{4}{3}(0)+5$

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Inequality B

$-1\geq -\frac{5}{2}(0)+5$

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therefore

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case 2) (0,3)

Inequality A

$3\leq \frac{4}{3}(0)+5$

$3\leq5$ ----> is true

Inequality B

$3\geq -\frac{5}{2}(0)+5$

$3\geq 5$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 3) (-6,-6)

Inequality A

$-6\leq \frac{4}{3}(-6)+5$

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Inequality B

$-6\geq -\frac{5}{2}(-6)+5$

$-6\geq 20$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 4) (12,-6)

Inequality A

$-6\leq \frac{4}{3}(12)+5$

$-6\leq21$ ----> is true

Inequality B

$-6\geq -\frac{5}{2}(12)+5$

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therefore

The ordered pair is a solution of the system (makes true both inequalities)

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