Can you solve y=2x-5 and 4x-y=7 with steps?

Answers

Answer 1
Answer: y=2x-5 \n4x-y=7 \n \n\hbox{substitute 2x-5 for y in the 2nd equation and solve for x:} \n4x-(2x-5)=7 \n4x-2x+5=7 \n2x+5=7 \n2x=7-5 \n2x=2 \nx=(2)/(2) \nx=1 \n \n\hbox{substitute 1 for x in the 1st equation:} \ny=2 * 1-5=2-5=-3 \n \n\hbox{the answer:} \nx=1 \n y=-3
Answer 2
Answer: This is straight forward:
You have already said:    y = 2x - 5 ...........(i)
                                             4x - y = 7............(ii)
So anywhere we see, y in equation (ii) we replace it with (2x - 5).
                                            4x - (2x - 5) = 7
                                             4x - 2x + 5  = 7
 Note minus sign before the bracket, changes sign inside the bracket.
                                              2x  + 5 = 7
                                              2x =  7 - 5.
                                              2x = 2        Divide both sides by 2.
                                                x  = 2/2
                                                x =1.
Remember from (i)  y = 2x - 5,  y = 2*1 - 5 = 2-5 = -3.
Therefore,  x = 1,    y = -3.
Those are the steps.

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True or false If the graph of two linear equations cross at exactly one point they are called dependent.

Answers

false .. the dependent if 2 lines applicable with each other  
to make shape like (T) symbol 

suppose that you're building a shed and me to pour concrete slab to support it. You know that the slab will be 15 feet wide, 10 feet long, 6 inches deep. concrete is usually sold by the cubic yard. How many cubic yards of concrete will you need for the slab?

Answers

convert all to one unit - I'm choosing feet
15 x 10 x 0.5 = 15 x 5 = 75 feet
1 cubic yard  =  1 yard x 1 yard x 1 yard = 3 ft x 3 ft x 3 ft = 27 feet?

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Find slope of 2x-4y + 7=0

Answers

Answer:

1/2

Step-by-step explanation:

The first thing you want to do is get y by itself. Subtract 7 from both sides:

2x-4y=-7

and then subtract 2x ( the goal is to make your equation look like this: y=mx+b):

-4y= -2x-7

Now, y is mostly isolated, all you have to do now is divide both sides by -4 in order for y to be completely by itself:

y=-2/-4x -7/-4

Simplify completely:

y=1/2x+7/4

Now you have your equation you can easily read it as y=mx+b.

** m is slope & b is the y-intercept**

So your slope would be: 1/2

Given quadrilateral LMNO ~ quadrilateral RSTU and LM = 8, NO = 12, and RS = 7, what is TU?

Answers

10.5 is the answer. 7x12 then divide by 8

To pay for a sofa, Maddie made a payment of 64 dollars each month for one year. How much did the sofa cost ?

Answers

Answer:

$768.00

Step-by-step explanation:

Maddie purchased a sofa.

To pay for the sofa, she made a payment of 64 dollars each month for one year.

She paid $64 for 12 months.

The cost of the sofa = 64 × 12

                                 = $768.00

Cost of the sofa would be $768.00.

So you need to multiply 64 times 12 and she has to pay $768

A ball was kicked into the air from a balcony 20 feet above the ground, and the ball's height above the ground, in feet, t seconds after the ball was kicked is given by the equation h(t)=-16t^2+32t+20.what was the maximum height,in feet, of the ball above the ground after it was kicked

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