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4 years ago

Solve by elimination. 7x+3y=25 -2x-y=-8

Mathematics

2 answers:

OleMash [197]4 years ago

5 0

Answer:

x=1 , y=6

Step-by-step explanation:

7x+3y = 25

-2x-y = -8

Multiply the second equation by 3 so we can eliminate y

3(-2x-y )= -8*3

-6x -3y = -24

Add this equation to the first equation

-6x -3y = -24

7x+3y = 25

----------------------

x = 1

But we still need to find y by substituting x =1

-2x -y = -8

-2(1) -y = -8

-2-y = -8

Add 2 to each side

-2+2 = -8+2

-y = -6

Multiply by -1

y = 6

Luba_88 [7]4 years ago

4 0

7x+3y=25
-2x-y=-8

7x+3y=25
(-2x-y=-8)3

7x+3y=25
-6x-3y=-24
x. =1

x=1

now you plug in that x value

-2(1)-y=-8
-2-y=-8
+2. +2
-y = -6
-1. -1
y = 6

(1,6)

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An expression for the area of the rectangle if the width is w inches is

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when the width is 1 inch, Area = 3 square inches (in²)

when the width is 2 inches, Area = 6 square inches (in²)

when the width is 3 inches, Area = 9 square inches (in²)

when the width is 26 inches, Area = 78 square inches (in²)

Step-by-step explanation:

The area of a rectangle is given by

$A = l$ × $w$

Where $A$ is the area of the rectangle

$l$ is the length of the rectangle

and $w$ is the width of the rectangle

From the question,

length, $l$ = 3 inches

width, $w$ = w inches

Hence, An expression for the area of the rectangle is

$A =$ 3 × w

$A =$ 3w

Now, to find the area of the rectangle when the width is 1, 2 , 3, and 26 inches

1. when the width is 1 inch (That is $w$ = 1 inch)

Then, $A =$ 3w

$A =$ 3 × 1

$A =$ 3 square inches (in²)

2. when the width is 2 inches (That is $w$ = 2 inches)

Then, $A =$ 3w

$A =$ 3 × 2

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3. when the width is 3 inches (That is $w$ = 3 inches)

Then, $A =$ 3w

$A =$ 3 × 3

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4. when the width is 26 inches (That is $w$ = 26 inches)

Then, $A =$ 3w

$A =$ 3 × 26

$A =$ 78 square inches (in²)

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