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rewona [7]
2 years ago
12

How to solve using Substitution or Elimination? y=3x-1 y=2x+2

Mathematics
1 answer:
n200080 [17]2 years ago
4 0

By elimination:

y = 3x - 1

y = 2x + 2

Subtract the second equation from the first

0 = x - 1

y = 2x + 2

Subtract the first equation from the second

0 = x - 1

y = x + 3

Subtract the first equation from the second again

0 = x - 1

y =      4

Subtract x from both sides of the first equation

- x =  - 1

y =      4

Divide the first equation by (-1)    

x =  1

y =  4

<h3>So, the solution is  x = 1  and  y = 4   {or: (1, 4)}</h3>
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Christina's purchasing a new TV. She was approved to finance the TV with zero interest. If Christina gives a one-time payment of
Allisa [31]

Given:

One time payment, <em>p </em>= $300

Payment per month, <em>q = </em>$65

Number of months paid, <em>n</em> = 5

The objectiv is to find the amount she paid in 5 months.

Let <em>x </em>be the amount she paid in 5 months. Then the the formula is,

x=p+nq

Let's substitute the values.

\begin{gathered} x=300+5(65) \\ x=300+325 \\ x=625 \end{gathered}

Hence, total amount paid in 5 months is $625.

3 0
10 months ago
A fenced in rectangular region with the dimensions 4 yards by 8 yards is suddenly expanded by the same distance in each dimensio
Korolek [52]

Answer:

The distance added to each dimension is 2 yards.

Step-by-step explanation:

The initial dimensions of the rectangular fence is 8 yards by 4 yards.

The initial area of the rectangular fence = area of a rectangle

area of a rectangle = length x width

So that,

The initial area of the fence = 8 x 4

                                              = 32

The initial area of the fence is 32 square yards.

But, with the new dimensions, area = 60 square yards.

(4 + x) x (8 + x) = 60

x^{2} + 12x + 28 = 60

x^{2} + 12x - 32 = 0

(x + 14) = 0 or (x - 2) = 0

x = -14 or x =2

Thus, x = 2

The distance added to each dimension is 2 yards.

4 0
2 years ago
What is 6 over 15 as a fraction with a denominator of 20
Serga [27]
8 over 20 equals 6 over 15
3 0
3 years ago
Order the decimals 0.42, -1/2, 11/20, -0.51
bearhunter [10]

least to greatest: -0.51, -1/2, 0.42, 11/20

greatest to least: 11/20, 0.42, -1/2, -0.51

4 0
3 years ago
How to solve x+7=3<br> In one step equations
rodikova [14]
<span>Subtract 7 from both sides of the equation. Check: Substitute -4 for x in the original equation. If, after the substitution, the left side equals the right side, your answer is correct. ( -4 ) + 7 = 3 </span>
3 0
2 years ago
Read 2 more answers
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