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pav-90 [236]
3 years ago
5

What is the x-value of the solution to the system of equations?5x + 4y = 82x - 3y = 17​

Mathematics
1 answer:
katrin [286]3 years ago
7 0

Answer:

  x = 4

Step-by-step explanation:

You can eliminate the y-variables by adding 4 times the second equation to 3 times the first:

  3(5x +4y) +4(2x -3y) = 3(8) +4(17)

  15x +12y +8x -12y = 24 +68 . . . . eliminate parentheses

  23x = 92 . . . . . . . . . collect terms

  x = 92/23 = 4 . . . . . divide by 23

The x-value of the solution is 4.

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Lisa sold her old bike for $140 less than she paid for it. She sold the bike for $85. Write and solve and equation to find how m
rodikova [14]

Answer:

Equation=$140+$85=$225

Step-by-step explanation:

If she sold her bike for $140 less than she paid for it, and she sold it for $85, you add 140 to 85 to get out much she paid for. To check your answer do 225-140=85.

4 0
2 years ago
Elly's room measures 78 inches by 96 inches. Sarah's room measures 66 inches by 108 inches. They want to combine their rooms. Ho
frozen [14]
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7 0
3 years ago
Read 2 more answers
Construction This section of a concrete skateboard ramp has the shape of a triangular prism. Find the volume
irina [24]

Answer:

volume = 73.3ft³

value = $194.4

Step-by-step explanation:

volume of prism = (½bh)l

=(½×4×4)×9.2

=73.6ft³

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1ft³ : $4.00

73 .6ft³ : X

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X : $294.4

7 0
2 years ago
Please help with this one
anyanavicka [17]

Ok this inequality tells you the number of devices you can have before the new plan costs more than the old plan. The new plan expression is $4.50x + $94m =  y ( total cost). The old plan is $175m = y (total cost). You can see m (number of months) in both equations, you don't need it this time since we're going to to compare both to one month. Since they're both equal to y you can make them equal to each other. $4.50x + $94 = $175. Now you want to figure when the new plan is less than the old plan you switch the equal sign for a less than sign. $4.50x + $94 < $175; this will help you find the inequality you want. From there just use algebraic steps to find that x has to less than 18 or

x < 18.

3 0
3 years ago
The ratio of girls to boys in a class is 3:5 what fraction of the class are girls?
Wewaii [24]

Answer:

Hello!!

If the ratio of girls to boys in a class is 3:5, the fraction of the class that are girls is...

\frac{3}{5}

Hope this helps!!

8 0
3 years ago
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