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2 years ago

4x + 4y = 12 -2x + y = -3

2 answers:

8 0

Answer:

(9/4, 3/4)

Explanation:

4x + 4y = 12
2(-2x + y = -3)

4x + 4y = 12
-4x + 4y = -6

8y = 6

y = 3/4

4x + 4(3/4) = 12

4x + 3 = 12

4x = 9

x = 9/4

kondaur [170]2 years ago

4 0

Answer:

(4y=12)

é só substituir a cordenada no par ordenado

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Three fourths a number plus 8 is 20 less than the number

VARVARA [1.3K]

Answer:

Equation: $\frac{3}{4}n+8=n-20$

Solve for n: n = 112

Step-by-step explanation:

To first set up the equation, you need to look at the verbal description and translate into numbers and operations:

'three fourths a number' = $\frac{3}{4} n$

'plus 8' = + 8

'is' =

'20 less' = - 20

'the number' = n

Put the expressions together:

'three fourths a number plus 8': $\frac{3}{4}n+8$

'20 less than the number': n - 20

Set them equal to each other and solve: $\frac{3}{4}n+8=n-20$

Add 20 to both sides: $\frac{3}{4}n+8+20=n-20+20$

Subtract $\frac{3}{4}n$ from both sides: $\frac{3}{4}n-\frac{3}{4}n+28=n-\frac{3}{4}n$

Multiply both sides by $\frac{4}{1}$ : $\frac{4}{1}28=\frac{1}{4}n\frac{4}{1}$

Solve for n: n = 112

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3 years ago

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2 years ago

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3 years ago

Give the property that justifies each step.

frosja888 [35]

Answer:

Please check the explanation below.

Step-by-step explanation:

Some of the properties are defined as:

Distributive property

$a(b+c) = ab+ac$

For example,

suppose a=3, b=4, c=5

3(4+5) = 3(4) + 3(5)

3(9) = 12+15

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Subtraction property of Equality

if (a=b), then a-c = b-c

For example,

suppose a=2, b=2, c=5

if a = b ⇒ 2 = 2

then a-c = b-c ⇒ 2-5 = 2- 5 ⇒ -3 = -3

Addition property of Equality

if (a=b), then a+c = b+c

For example,

suppose a=2, b=2, c=5

if a = b ⇒ 2 = 2

then a+c = b+c ⇒ 2+3 = 2+3 ⇒ 5 = 5

Multiplicative property of Equality

if (a=b), then a×c = b×c

For example,

suppose a=2, b=2, c=5

if a = b ⇒ 2 = 2

then a×c = b×c ⇒ 2×5 = 2 × 5 ⇒ 10 = 10

Division property of Equality

if (a=b), then a÷c = b÷c

For example,

suppose a=2, b=2, c=5

if a = b ⇒ 2 = 2

then a÷c = b÷c ⇒ 2÷5 = 2 ÷ 3 ⇒ 2/5 = 2/5

Let us solve the given equation using the above properties.

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7n-16+16=47+16 1) Addtion property of Equality ∵ if (a=b), then a+c = b+c

7n=63 2) simplify

n = 9 3) Division property of Equality ∵ if (a=b), then a÷c = b÷c

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3 years ago