What is the solution to the system of equations?

Mathematics

2 answers:

Svetach [21]3 years ago

7 0

Answer:

No solution

Step-by-step explanation:

Yuri [45]3 years ago

6 0

Answer:

No solution

Step-by-step explanation:

Note how "2x" shows up in both equations. This suggests doing a substitution to solve the system.

Focus first on the first equation. Solving 2x - y = 7 for 2x, we get:

2x = y + 7.

Next, we substitute y + 7 for 2x in the second equation:

y = (y + 7) + 3.

Simplifying this produces:

0 = 10

This is not true and can never be true. Thus, this system has no solution.

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Steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. If the ramp make a 30° angle wi

scoray [572]

Answer:

6.25 feet.

Step-by-step explanation:

Please find the attachment.

Let L be the length of the ramp in feet.

We have been given that steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. The ramp make a 30° angle with the ground.

We can see from our attachment that ramp and truck bed forms a right triangle with ground. The truck bed is opposite side and length of ramp is hypotenuse of our given angle.

Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use Sine to solve for L.

$\text{Sine}=\frac{\text{Opposite}}{\text{Hypotenuse}}$