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3 years ago

Use substitution to solve the system of equations. y=x +1.74 4x-2y =4

Mathematics

1 answer:

34kurt3 years ago

6 0

Answer:

y = 3.75+1.74= 5.49=5.5 =5.5

4(3.75) - 2(5.5) =15 - 11 =4

Step-by-step explanation:

y = x+ 1.74 → -x + y = 1.74

(1/2)(4x - 2y = 4) → 2x - y = 2

Add two eq → x=3.74 and y=5.5

The problem says that u need replace but with the process before you can get the result easily.

y = 3.75+1.74= 5.49=5.5 ≠ 0

4(3.75) - 2(0) =15 ≠ 4

y = 4+1.74= 5.74=6 ≠ 4

4(4) - 2(4) =8 ≠ 4

y = 3.75+1.74= 5.49=5.5 =5.5

4(3.75) - 2(5.5) =15 - 11 =4

y = 5.5+1.74= 7.24 ≠ 0

4(5.5) - 2(4) =14 ≠ 4

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which occurs twice in the interval $[0,2\pi)$ for $x=\arcsin\dfrac3{10}$ and $x=\pi-\arcsin\dfrac3{10}$ . More generally, if you think of $x$ as a point on the unit circle, this occurs whenever $x$ also completes a full revolution about the origin. This means for any integer $n$ , the general solution in this case would be $x=\arcsin\dfrac3{10}+2n\pi$ and $x=\pi-\arcsin\dfrac3{10}+2n\pi$ .