3 years ago

What is the solution to this system of equations? 3x + 2y=45 , 4x-y=5

1 answer:

3 0

The solution is (5, 15)

Multiply the second equation by 2 and then add through.

3x + 2y = 45
8x - 2y = 10
-----------------
11x = 55
x = 5

Then plug in to get the y value

3(5) + 2y = 45
15 + 2y = 45
2y = 30
y = 15

You might be interested in

A group of friends were working on a student film. They spent $949 on equipment, which was 73% of their total budget. What was t

wlad13 [49]

Answer:

$\huge\boxed{\sf x = \$ 1300}$

Step-by-step explanation:

Let the total budget be x.

Given condition:

73% of total budget = 949

73% of x = 949

Key:

of => to multiply

% => out of 100

Solution;

$\displaystyle \frac{73}{100} \times x = 949\\\\Multiply \ \frac{100}{73} \ to \ both\ sides\\\\x=949 \times \frac{100}{73} \\\\x = \frac{94900}{73} \\\\x = \$ 1300\\\\\rule[225]{225}{2}$