Question

Solve the system of linear equations: 3x - 2y = -5 and 4x + 5y = 47:

a) x = 7, y = 4
b) x = 5, y = 6
c) x = 6, y = 5
d) x = 4, y = 7

Answer 1

(3,7) The answer is (3,7) either the answers or equations or wrong I used desmos to check

Step-by-step explanation:

1. set both to equal y (or x it doesn't really matter)

2. set both equations to equal each other

3. use the solved value for x and sub for one of the original equations

Answer 2

To solve the system of linear equations 3x - 2y = -5 and 4x + 5y = 47, we can use the substitution method or the elimination method. By using the substitution method, we find that x = 3 and y = 7.

Step-by-step explanation:

To solve the system of linear equations 3x - 2y = -5 and 4x + 5y = 47, we can use either the substitution method or the elimination method. Let's use the substitution method:

1. Solve the first equation for x:

3x - 2y = -5 --> 3x = 2y - 5 --> x = (2y - 5) / 3

2. Substitute the value of x into the second equation:

4((2y - 5) / 3) + 5y = 47

3. Simplify and solve for y:

(8y - 20) / 3 + 5y = 47 --> 8y - 20 + 15y = 141 --> 23y = 161 --> y = 7

4. Substitute the value of y back into the first equation to solve for x:

3x - 2(7) = -5 --> 3x - 14 = -5 --> 3x = 9 --> x = 3

Therefore, the solution to the system of linear equations is x = 3 and y = 7.