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alina1380 [7]
3 years ago
15

Solving by factoring

Mathematics
1 answer:
puteri [66]3 years ago
6 0

Answer:

3

Step-by-step explanation:

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What is the solution of the system? 7x+5y=19 and -7x-2y=-16 Need help ASAP
Stells [14]

Answer:

x = 2, y = 1

Step-by-step explanation:

  • 7x + 5y = 19
  • -7x - 2y = -16

Use the elimination method to solve the system of equations. Add the terms from top to bottom. 7x and -7x cancel out.

0 + 3y = 3

Divide both sides by 3.

y = 1

Substitute 1 for y into the first equation.

7x + 5(1) = 19

7x + 5 = 19

Subtract 5 from both sides.

7x = 14

Divide both sides by 7.

x = 2

3 0
3 years ago
Use the given similar triangles to find the value of x<br> I need the answer fast please!!
Yuki888 [10]

Answer:

I believe the answer is x=7

Step-by-step explanation:

<em>3x</em> and<em> 4x-1 </em> are corresponding sides and so are <em>14</em> and <em>18</em>.

You cross multiply with the smaller triangle lengths at the top.

3x/(4x-1)= 14/18

Cross multiply to get

18(3x)= 14(4x-1)

54x=56x-14

Subtract 54x on the other side and add 14 to the other (or subtract 56x to the other side)

you get 14=2x and divide 14 by 2 to get x=7

8 0
3 years ago
On a math test, Johnny made a raw score of 95 on a 40 question test. The correct answers were given 5 points each while incorrec
Sidana [21]
X - the number of questions he answered correctly
y - the number of questions he answered incorrectly

There were 40 questions on the test.
x+y=40 \\ y=40-x

The correct answers were given 5 points each, the incorrect answers were given -2 points each. He made a score of 95.
5x-2y=95 \\&#10;-2y=95-5x \\&#10;y=-\frac{95}{2}+\frac{5}{2}x&#10;

Set 40-x and (-95/2)+(5/2)x equal to each other:
40-x=-\frac{95}{2}+\frac{5}{2}x \\&#10;-x-\frac{5}{2}x=-\frac{95}{2}-40 \\&#10;-\frac{2}{2}x-\frac{5}{2}x=-\frac{95}{2}-\frac{80}{2} \\&#10;-\frac{7}{2}x=-\frac{175}{2} \\&#10;x=-\frac{175}{2} \times (-\frac{2}{7}) \\&#10;x=\frac{175}{7} \\&#10;x=25

Johnny answered correctly 25 questions.
8 0
3 years ago
Need help on this Algebra 2
ElenaW [278]
All you have to do to solve this question is to plug in gx as any other number you would plug in to the f(x) to solve the equation.

So it would be

F(3x-8) = 3(3x-8)^2 - 5(3x-8) - 9

Then FOIL the terms in the binomial or the first term, then after expanding the first term, distribute the numbers into each term inside the bracket and then at the end gather like terms to simplify.






6 0
3 years ago
Solve (x+4)2 – 3(x + 4) – 3 = 0 using substitution.<br> u=
mr_godi [17]

Answer:

Step-by-step explanation:

(x+4)2-3(x+4)-3=0

2x+8-3x-12-3=0

-1x-4-3=0

-1x-7=0

-1x=7

x=7/-1

x=-7

3 0
3 years ago
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