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Answer: x = - 19
y = 55
Step-by-step explanation:
y = - 3x - 2 (1)
5x + 2y = 15 (2)
substitute y = - 3x - 2 into equation (2)
equation (2) becomes
5x + 2 (-3x - 2) = 15
5x + ( - 6x - 4) = 15
opening the bracket
5x - 6x - 4 = 15
collecting like terms
5x - 6x = 15 + 4
-x = 19
x = - 19
substituting x = - 19 into equation 1
y = - 3x - 2
y = - 3 (-19) - 2
y = 57- 2
y = 55
2x + y - z = -3 .....multiply by 2
5x - 2y + 2z = 24
-----------------
4x + 2y - 2z = -6 (result of multiplying by 2)
5x - 2y + 2z = 24
----------------add
9x = 18
x = 18/9
x = 2
3x - z = 5
3(2) - z = 5
6 - z = 5
6 - 5 = z
1 = z
2x + y - z = -3
2(2) + y - 1 = -3
4 + y - 1 = -3
y + 3 = -3
y = -3 - 3
y = -6
solution is : (2.-6,1)
The sum of the two acute angles is 90 degrees. Set this up in the form of the following equation.
We know this because the two angles are x and 3x + 12.
From here you just need to solve.
, or 19.5
This is the measure of one angle. The measure of the other angle is therefore, after a few calculations, 70.5.
19.5 degrees, 70.5 degrees.