Can someone help solve this ? Solve the system of equations 2x-y= 13x and -3x+2y=-18 by combining the equations.

x = 18/25, y = -198/25

Step-by-step explanation:

Given the system of equations:

2x – y = 13x

-3x + 2y= -18

You can combine these two equations effectively by multiplying the first equation by 2, and adding because -2y and 2y will cancel out when added. So you will be left with only x terms

( 2x - y = 13x ) × 2

+ -3x + 2y = -18

2(2x) - 3x + 2(-y) + 2y = 2(13x) - 18

4x - 3x - 2y + 2y = 26x - 18

x + 0 = 26x - 18

x = 26x - 18

[Then use the properties of equality to simplify the expressions in the equation to derive the value of x]

x - x = 26x - 18 - x (subtraction property of equality)

0 = 25x - 18

0 + 18 = 25x - 18 + 18 (addition property of equality)

18 = 25x

18 / 25 = 25x / 25 (division property of equality)

18 / 25 = x

x = 18 / 25 (symmetric property of equality)

Now with the value of x, we can find the value of y by substituting the value of x into the variables of the top equation {2x – y = 13x} because this involves the simpliest steps.

Given x = 18 / 25.

2x – y = 13x → 2x – y + y = 13x + y → 2x = 13x + y → 2x – 13x = 13x + y – 13x → -11x = y → y = -11x.

Now that we know y = -11x, y = -11(18/25) which is - (11 × 18) / 25 = -198/25

you estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82 .the total height of the building is another 123 meters above the 86th floor.

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