Solve for x: 4(3x - 5) = 7(2x + 3).

2 answers:

6 0

Distribute the four and seven to get
12x-20=14x+21
Then subtract the 12x and both side and get
-20=2x+21
The subtract 21 on both sides to get
-41=2x
Then divide both sides by 2 and get
X=-41/2
And as a decimal it is -20.5

Charra [1.4K]3 years ago

4 0

X= -41/2

12x-20=14x+21
12x-20+20=14x+21+20
12x=14x+41
12x-14x=14x+41-14x
-2x=41
-2x/-2=41/-2
x=-41/2

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Step-by-step explanation:

I will do question one as an example. In general, for these questions you want to use the appropriate trigonometric ratios to solve for the variables and/or apply logic using rules regarding triangles. See attached image for all solving steps.

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c = ¹⁰⁄cos₂₃.₅

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It is also possible to solve this using sine of angle B and solve it from there, but applying the theory this way is much simpler. (this is on the image if you're curious about it)

I hope this helps you with the other 3 questions.