Solve the system of linear equations by elimination. 8x−5y=11 4x−3y=5
1 answer:
Answer:
x= x =
Step-by-step explanation:
8x−5y=11 = Let's solve for x.
8x−5y=11
Step 1: Add 5y to both sides.
8x−5y+5y=11+5y
8x=5y+11
Step 2: Divide both sides by 8.
8x
8
=
5y+11
8
x=
5
8
y+
11
8
4x−3y=5= Let's solve for x.
4x−3y=5
Step 1: Add 3y to both sides.
4x−3y+3y=5+3y
4x=3y+5
Step 2: Divide both sides by 4.
4x
4
=
3y+5
4
x=
3
4
y+
5
4
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Answer: The ramp would be 15.5 feet long.
Step-by-step explanation: Please refer to the attached diagram for details.
Angle C shows the angle to be formed by the ramp from the ground, which is 15 degrees. Also, from the ground, it’s going to be four feet tall, which is line AB. The top of the ramp is point A, which makes line AC the entire length of the ramp. Since we have a reference angle (angle C) and two sides, the opposite and the hypotenuse, we shall apply the trigonometric ratio.
SinC = opposite/hypotenuse
Sin 15 = 4/b
By cross multiplication we now have
b = 4/Sin15
b = 4/0.2588
b = 15.4599
Approximately b = 15.5
Therefore the length of the ramp would be 15.5 feet
