All categories

2 years ago

Wht is the solutioin to the system of equations y = 4x – 10 y = 2

Mathematics

1 answer:

gtnhenbr [62]2 years ago

7 0

Answer:

(3,2)

Step-by-step explanation:

I graphed the two lines using a graphing tool. The lines intercept at (3,2). Therefore, the solution to the system is (3,2).

You might be interested in

Solve x^2 +3x=0 by factoring

ivolga24 [154]

Answer:

x=0,-3 hope this helps

https://www.symbolab.com/solver/step-by-step/x%5E%7B2%7D%20%2B3x%3D0%20 here this website to show your work hope this helps

3 0

2 years ago

if the vertex of a parabola is (-4,6) and another point on the curve is (-3,14), what is the coefficient of the squared expressi

Softa [21]

Answer:

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 4, 6 ), thus

y = a(x + 4)² + 6

To find a substitute (- 3, 14) into the equation

14 = a(- 3 + 4)² + 6 ( subtract 6 from both sides )

8 = a

Thus the coefficient of the x² term is a = 8

3 0

2 years ago

The grocery store makes a 20% profit on baked goods. The profit for baked goods last month was $600. What was the total sales fo

torisob [31]

Let x = total sales of baked goods remember 20% = .20 as a decimal

so the equation would be .20x = $600

divide both sides by .20

.20x/.20 = $600/.20

x = $3000 the total sales of baked goods

CHECK: 20% times $3000 = .20 times $3000 = $600

4 0

2 years ago

Find the width of a rectangle 25 feet and the perimeter is 80

lukranit [14]

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Given - a rectangle with length 25 feet and perimeter 80 feet

To calculate - width of the rectangle

We know that ,

$\bold{Perimeter \: of \: rectangle = 2(l + b)} \\$

where b = width / breadth of rectangle

‎ ‎ ‎

substituting the values in the formula stated above ,

$\bold{80 = 2(25 + b)} \\ \\\bold{ \implies \: 25 + b = \cancel \frac{80}{2} } \\ \\ \bold{\implies \: 25 + b = 40 }\\ \\ \bold{\implies \: b = 40 - 25 }\\ \\\bold{ \implies \: b = 15 \: feet}$

hope helpful ~

3 0

2 years ago

Read 2 more answers

Solve system of equations 2x + 2y + 5z = 7 6x + 8y + 5z = 9 2x + 3y + 5z = 6

svet-max [94.6K]

Answer:

the values of x, y and z are x= 2, y =-1 and z=1

Step-by-step explanation:

We need to solve the following system of equations.

We will use elimination method to solve these equations and find the values of x, y and z.

2x + 2y + 5z = 7 eq(1)

6x + 8y + 5z = 9 eq(2)

2x + 3y + 5z = 6 eq(3)

Subtracting eq(1) and eq(3)

2x + 2y + 5z = 7

2x + 3y + 5z = 6

- - - -

_____________

0 -y + 0 = 1

-y = 1

=> y = -1

Subtracting eq(2) and eq(3)

6x + 8y + 5z = 9

2x + 3y + 5z = 6

- - - -

______________

4x + 5y +0z = 3

4x + 5y = 3 eq(4)

Putting value of y = -1 in equation 4

4x + 5y = 3

4x + 5(-1) = 3

4x -5 = 3

4x = 3+5

4x = 8

x= 8/4

x = 2

Putting value of x=2 and y=-1 in eq(1)

2x + 2y + 5z = 7

2(2) + 2(-1) + 5z = 7

4 -2 + 5z = 7

2 + 5z = 7

5z = 7 -2

5z = 5

z = 5/5

z = 1

So, the values of x, y and z are x= 2, y =-1 and z=1

5 0

3 years ago