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4 years ago

Solve the following system of equations. 7x+6y = -4 4x + 6y = 8

Mathematics

2 answers:

gayaneshka [121]4 years ago

6 0

Answer:

(x,y) = (-4,4)

Step-by-step explanation:

7x + 6y = -4

6y = 8 - 4x

substitute the value of 6y into the equation

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

7x + 8 - 4x = -4

Solve

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

x = -4

substitute the value of x into the equation

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

6y = 8 - 4(-4)

solve

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

y = 4

therefore,

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

(x,y) = (-4,4)

il63 [147K]4 years ago

5 0

Answer:

x = -4

y = 4

Step-by-step explanation:

Subtract the two equations

be sure to take the minus sign through the whole bottom equation

the 6y's will cancel and you are left with 3x = -12 or x =-4

Then take the x= -4 and plug it back into the top equation to get y = 4

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3. Luke is a dog walker. He gets $12 per day for walking his neighbor's dogs. He recently snapped his surfboard and

cupoosta [38]

Answer: He'd have to work 15 days.

Step-by-step explanation

With the money in his bank account he'd have to get $173 to be able to pay for the rest of the board. If you were to divide 173 by 12 you'd get 14.4166666667. But you can't have a decimal so you'd round up to get a total of 180. Which is how you get the answer of him needing to work for 15 days.

8 0

3 years ago

Solve for x: 3x − 2 > 5x + 10. (5 points)<br> 1) x > 6<br><br> 2) x −6

san4es73 [151]

Answer:

$x$

Step-by-step explanation:

$3x-2>5x+10$

Add 2 to both sides

$3x-2+2>5x+10+2$

Simplify

$3x>5x+12$

Subtract $5x$ from both sides

$3x-5x>5x+12-5x$

Simplify

$-2x>12$

Multiply both sides by $-1$ (reverse the inequality)

$(-2x)(-1)$

Simplify

$2x$

Divide both sides by $2$

$\frac{2x}{2}$

Divide the numbers: $\frac{2}{2} =1$

$=x$

Divide the numbers: $\frac{-12}{2}$

Apply fraction rule: $\frac{-a}{b} =-\frac{a}{b}$

$=\frac{12}{2}$

Divide the numbers: $\frac{12}{2} =6$

$=-6$

$x$

7 0

3 years ago

Read 2 more answers

Which of the following best describes the slope of the line below?

ad-work [718]

Answer: Undefined slope

Step-by-step explanation: Undefined slope is the a vertical line The x-coordinate never changes no matter what the y-coordinate which means there no run .

8 0

3 years ago

Find the amount after 2 years for 25000 at 10% pa compounded annually and halfyearly

Molodets [167]

Answer:

8358.7

Step-by-step explanation:

I think. I need someone to verify

3 0

3 years ago

Find the areas of the trapezoids

Sholpan [36]

Answer:

12 units²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = $\frac{1}{2}$ h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 4 ( perpendicular distance between the bases ) and

b₁ = SR = 2, b₂ = TA = 4 , then

A = $\frac{1}{2}$ × 4 × (2 + 4) = 2 × 6 = 12 units²

5 0

3 years ago