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3 years ago

Solve the system of equations: (Find the ordered pair that is a solution to both equations). y=4x-3y=-2x+9

Mathematics

1 answer:

sveticcg [70]3 years ago

3 0

Answer:

(-2,-11)

Step-by-step explanation:

x = -2

y = -11

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Find the sum of the equation

stealth61 [152]

Answer:

$\frac{{y}^{2}+13y-6}{{(y-1)}^{2}(y+7)}$

Step-by-step explanation:

1) Rewrite ${y}^{2}-2y+1y$ in the form ${a}^{2}-2ab+{b}^{2}$ , where a = y and b = 1.

$\frac{y}{{y}^{2}-2(y)(1)+{1}^{2}}+\frac{6}{{y}^{2}+6y-7}$

2) Use Square of Difference: ${(a-b)}^{2}={a}^{2}-2ab+{b}^{2}$ .

$\frac{y}{{(y-1)}^{2}}+\frac{6}{{y}^{2}+6y-7}$

3) Factor ${y}^{2}+6y-7$ .

1 - Ask: Which two numbers add up to 6 and multiply to -7?

-1 and 7

2 - Rewrite the expression using the above.

$(y-1)(y-7)$

Outcome/Result: $\frac{y}{(y-1)^2} +\frac{6}{(y-1)(y+7)}$

4) Rewrite the expression with a common denominator.

$\frac{y(y+7)+6(y-1)}{{(y-1)}^{2}(y+7)}$

5) Expand.

$\frac{{y}^{2}+7y+6y-6}{{(y-1)}^{2}(y+7)}$

6) Collect like terms.

$\frac{{y}^{2}+(7y+6y)-6}{{(y-1)}^{2}(y+7)}$

7) Simplify ${y}^{2}+(7y+6y)-6y$ to ${y}^{2}+13y-6y$

$\frac{{y}^{2}+13y-6}{{(y-1)}^{2}(y+7)}$

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2 years ago

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Jacob bought 7 T shirts for $32.90 Kyle bought 12 T shirts for $60.00

soldier1979 [14.2K]

Part A: Kyle is incorrect


Part B: Brenden paid $37.60

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4 years ago

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What is the anwer to (1/8)^1/3

mojhsa [17]

Answer:

1/8 ^ 1/3 =

1/2 or 0.5

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3 years ago

What is the value of x in the equation 3x-4y=65, when y=4? WN

Naya [18.7K]

Answer:

x=27

Step-by-step explanation:

3x -4y =65

Let y=4

3x -4*4 =65

3x-16 = 65

Add 16 to each side

3x-16+16 = 65+16

3x = 81

Divide each side by 3

3x/3 = 81/3

x = 27

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3 years ago

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State the name of the property illustrated. (x + 7) + [-(x + 7)] = 0

Vadim26 [7]

Answer:

addittional property

Step-by-step explanation:

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3 years ago