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3 years ago

Solve the system of linear equations given below.

Mathematics

1 answer:

charle [14.2K]3 years ago

8 0

Answer: C

Steps: 4x + y = -4, x + y = 2

Isolate the x for (x + y = 2): x = 2 - y

Plug the value of x into the other equation: 4(2 - y) + y = -4

Simplify: -4y + 8 + y = -4

Combine like variables (letters): -4y + y = -3y

So -3y + 8 = -4

Subtract eight from both sides: -3y + 8 - 8 = -4 - 8

-3y = -12

Divide both sides by negative three: -3y ÷ -3 = -12 ÷ -3

Simplify: y = 4

Plug the value of y into one of the original equations (I'll use x + y = 2):

So x + 4 = 2

Isolate the x variable: x = -2

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3 years ago

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kobusy [5.1K]

The Correct option is D). y=1x+1 And y=2x+2

Step-by-step explanation:

The equation of a line is given as y=mx+c.

where m=slope of line and c=y intercept

The slope of line is given as m= $\frac{(Y2-Y1)}{(X2-X1)}$

Solving for Redline:

From the given graph, redline passes through (-1,0) and (0,1)

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The slope of Redline is m= $\frac{(1-0)}{(0-(-1))}$

The slope of Redline is m=(1)

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The equation of a Redline is given as y=1x+1

Solving for Blue-line:

From the given graph, Blue-line passes through (-1,0) and (0,2)

The slope of Blue-line is m= $\frac{(Y2-Y1)}{(X2-X1)}$

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3 years ago

The edge of each cube used to build this rectangular prism is 12 inch long. Which equation shows the volume of the prism, in cub

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3 years ago

Read 2 more answers

Hank invested a total of $20,000, part at 7% and part at 10%. How much did he invest at each rate if the total interest earned i

jolli1 [7]

Answer:

The amount invested at 7% is $12,000 while the amount invested at 10% is $8,000

Step-by-step explanation:

The given parameters are;

The total amount Hank invested = $20,000

The interest earned in one year = $1640

Hank invested part of the $20,000 at 7% interest and part of the $20,000 at 10%

Let the part invested at 7% = X and the part invested at 10% = Y, we have;

7% of X + 10% of Y = $1640 which gives;

0.07×X + 0.1×Y = $1640.....................(1)

X + Y = $20,000.................................(2)

Multiply equation (1) by 10 and subtract equation (1) from equation (2) to get;

X + Y - 10×(0.07×X + 0.1×Y) = $20,000 - 10×$1640

X - 0.7·X - Y - Y = $20,000 - $16,400 = $3,600

0.3·X = $3,600

X = $3,600/0.3 = $12,000

X = $12,000

Y = $20,000 - X = $20,000 - $12,000 = $8,000

Y = $8,000

Therefore, the amount invested at 7% = $12,000 and the amount invested at 10% = $8,000.

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3 years ago

Read 2 more answers