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Oksanka [162]
3 years ago
11

Solve the system of equations using the substitution method.

Mathematics
1 answer:
Katena32 [7]3 years ago
3 0
        4x+5y=7
         y=3x+9

1)      4x+5(3x+9)=7                 2)        y=3(-2)+9
                                                             y= -6 +9 
         4x+15x+45=7                               y=3                                                     
         19x+45=7
          19x= -38
             x= -2
x is -2 and y is 3
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Fabulous fitness charges a one time fee of $90 and an additional $25 per month wonder weights charges a one time fee of only $ 2
Aleksandr-060686 [28]

Answer:

9 months

Step-by-step explanation:

Given

Fabulous fitness charges a one-time fee of $90 and an additional $25 per month

let the number of months be x

and the total charges be y

y= 25x+90---------1

Wonder weights charges a one-time fee of only $ 27 dollars but charge an additional $32 each month

let the number of months be x

and the total charges be y

y= 32x+27------------2

Required

The value of x, that is the number of months

Step two:

Equating both equations we have

25x+90=32x+27

collect like terms

25x-32x=27-90

-7x=-63

7x=63

divide both sides by  7

x= 63/7

x= 9 months

6 0
3 years ago
PLZ HELP!!!<br> what r the answers??
vekshin1

Answer:

Question 2 the answer is C) y = -3/2x + 2

Question 3 the answer is D) x = 4

Step-by-step explanation:

To solve either we first need to know that parallel lines have the same slope.

So in #2 we know that the new line will also have a slope of -3/2. Therefore, we can use that along with the point given in the problem in point-slope form to get the new equation.

y - y1 = m(x - x1)

y + 1 = -3/2(x - 2)

y + 1 = -3/2x + 3

y = -3/2x + 2

And for #3, we know that we have a vertical line due to the fact that it is expressed as x = a number. Therefore, we must have the same in the answer. D is the only one that has such an answer.

3 0
3 years ago
Reduce to the lowest term: 30/40
natulia [17]

Answer:

3/4

Step-by-step explanation:

Reduce both the numerator and the denominator by 10, their greatest common factor.

6 0
3 years ago
Can someone explain this step by step? I'm very confused on how to solve it. Thanks!
Rashid [163]

Answer:

x = -8

Step-by-step explanation:

I will show each step algebraically. If you need further explanation, feel free to ask questions :)

\frac{x}{2} +7=3\\                     Rewrite

\frac{x}{2} =-4                        Subtract 7

x =-8                        Multiply by reciprocal (2/1)

I hope this helps!

3 0
3 years ago
Read 2 more answers
Multiply.<br>(v+8)(v-8)<br>simplify
san4es73 [151]
V * v = v^2
v * -8 = -8v
8 * v = 8v
8 * -8 = -64

v^2 - 8v + 8v - 64
v^2 - 64
<span>
This was using the distributive property or using the FOIL method</span>
4 0
3 years ago
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