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son4ous [18]
2 years ago
11

Help!!! will give brainlyest if explained

Mathematics
1 answer:
7nadin3 [17]2 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

2x - 3y = - 2 → (1)

4x + y = 24 → (2)

Multiplying (1) by - 2 and adding to (2) gives

- 4x + 6y = 4 → (3)

Add (2) and (3) term by term

(4x - 4x) + (y + 6y) = (24 + 4), that is

7y = 28 ( divide both sides by 7 )

y = 4

Substitute y = 4 into either of the 2 equations

Substituting y = 4 into (2)

4x + 4 = 24 ( subtract 4 from both sides )

4x = 20 ( divide both sides by 4 )

x = 5

Thus the answers x = 5 and y = 4 are the same as her first method

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Blake bought a coat on sale for 30% off the retail price. If he paid $130, what was the original retail price?
Y_Kistochka [10]
$169, you do 10% and times it 3 times to get 30 then add 9
6 0
2 years ago
Solve for x, y, and z
zloy xaker [14]

Answer:

The solution is x=1,y=2,z=3

Step-by-step explanation:

The given system of equations is ;\

2x−3y+4z=8...(1)

3x+4y−5z=−4...(2)

4x−5y+6z=12...(3)

Make x the subject in equation (1)

x=\frac{8+3y-4z}{2}...(4)

Put equation (4) into equation (2) and (3)

3(\frac{8+3y-4z}{2})+4y-5z=-4

Multiply through by;

3(8+3y-4z)+8y-10z=-8

Expand;

24+9y-12z+8y-10z=-8

Simplify;

17y-22z=-32...(5)

Equation (4) in (3)

4(\frac{8+3y-4z}{2})-5y+6z=12

2(8+3y-4z)-5y+6z=12

16+6y-8z-5y+6z=12

y-2z=-4

y=2z-4...(6)

Put equation (6) into equation (5)

17(2z-4)-22z=-32

34z-68-22z=-32

34z-22z=-32+68

12z=36

z=3

Put z=3 into equation (6)

y=2(3)-4=2

Put y=2 and z=3 into equation 4

x=\frac{8+3(2)-4(3)}{2}=1

The solution is x=1,y=2,z=3

3 0
2 years ago
PLS NO LINKS, rlly need help
maksim [4K]

Answer:

not sure about this one.

7 0
2 years ago
| 17. You have saved $95 and can
jok3333 [9.3K]

Answer:

Step-by-step explanation:

400=15x+95

305=15x

20 1/3=x

7 0
3 years ago
Read 2 more answers
Consider the function f(x)=x^2+2x-8
sattari [20]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

function   f(x) = x² + 2x - 8

-See the graph below

1) x-intercepts

We observe in the graph that there are no x-intercepts.

2) y-intercepts

We observe in the graph that the y-intercept is (0, 8). Point A

3) axis of symmetry

The axis of symmetry is the line that divides the parabola into two equal parts. This line is x = -1 (blue line)

4) The vertex is the lowest point of the parabola, this point is (-1, 7)

Point B in the graph.

8 0
3 years ago
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