Question

What is the solution of the system of equations? show work pls
y=9x+21
2x+3y=5

Answer 1

To find the solution, we can substitute the expression for y from the first equation into the second equation:

1. Substitute y = 9x + 21 into 2x + 3y = 5:
\(2x + 3(9x + 21) = 5\)

2. Simplify and solve for x:
\(2x + 27x + 63 = 5\)
\(29x + 63 = 5\)
\(29x = -58\)
\(x = -2\)

3. Now that we have x, substitute it back into the first equation to find y:
\(y = 9(-2) + 21\)
\(y = -18 + 21\)
\(y = 3\)

So, the solution to the system of equations is \(x = -2\) and \(y = 3\).

Answer 2

(-2, 3)

Explanation:

Pre-Solving

We are given the following system of equations:

y = 9x + 21

2x + 3y = 5

We want to find the solution of it.

To do that, we can use substitution, where we can substitute an expression that equals one of the variables to find the value of the other variable.

Solving

X value

Substitute y as 9x + 21 as 2x + 3y = 5.

2x + 3(9x + 21) = 5

Distribute 3 to 9x and 21.

2x + 27x + 63 = 5

Combine like terms.

29x + 63 = 5

Subtract 63 from both sides.

29x = -58

Divide both sides by 29.

x = -2

We found the value of x.

Y value

Now, substitute -2 as x in y = 9x + 21.

y = 9(-2) + 21

y = -18 + 21

y = 3

Our solution is (-2, 3).