Question

Solve the system of equations.

5x + y = 9
3x + 2y = 4

(-2, 5)

(1, 4)

(2, -1)

(4, -4)

Determine which system below will produce infinitely many solutions.

2x + 5y = 24
2x + 5y = 42

3x - 2y = 15
6x + 5y = 11

4x - 3y = 9
-8x + 6y = -18

5x - 3y = 16
-2x + 3y = -7

Choose the equivalent system of linear equations that will produce the same solution as the one given below.

6x + 2y = -6
3x - 4y = -18

12x + 4y = -12
15x = -30

8x + 4y = -4
14x = -10

6x - 8y = -36
-6y = -42

6x - y = -15
3y = 9

Answer 1

need help

Answer 2

Okay, no problem.

Answer 3

thanx you

Answer 4

Solve the system of equations.

\(5x + y = 9\)
\(3x + 2y = 4\)

Solve the first equation for \(y\).

\(5x + y = 9\)

Subtract \(-5x\) to both sides:

\(y = -5x + 9\)

Now we can input \(-5x + 9\) for \(y\) in the 2nd equation:

\(3x + 2y = 4\)
\(3x + 2(-5x+9) = 4\)

Distribute \(2\) into the parenthesis:

\(3x - 10x + 18 = 4\)

Simplify:

\(-7x + 18 = 4\)

Subtract \(18\) to both sides:

\(-7x = 4 - 18\)

Simplify:

\(-7x = -14\)

Divide \(-7\) to both sides:

\(x = 2\)

Okay, now we have our x-value to the solution. We can re-plug this into any of the two equations to find the y-value to the solution:

\(5x + y = 9\)
\(5(2) + y = 9\)
\(10 + y = 9\)

Subtract \(10\) to both sides:

\(y = 9 - 10\)

SImplify:

\(y = -1\)

So our solution is \((2, -1)\).

Answer 5

@alenahall12

Answer 6

i review the work you did

Answer 7

\(\bf Determine~which~system~below~will~produce~infinitely~many~solutions.\)

When a solution of two lines produce infinitely many solutions those two lines will be the same line.

Answer 8

So..look at the answers and find out which one is the same line.

\(\bf Option~A \! \! \! :\)

\(2x + 5y = 24\)
\(2x + 5y = 42\)

These last two numbers are switched around. You can tell these lines are parallel.

\(\bf Option~B \! \! \! :\)

\(3x - 2y = 15\)
\(6x + 5y = 11\)

These obviously have one solution..they are clearly different.

\(\bf Option~C \! \! \! :\)

\(4x - 3y = 9\)
\(-8x + 6y = -18\)

This is the correct answer! These lines are the same because the 2nd equation is the first equation multiplied by 2.

Answer 9

hum i see that makes some sense

Answer 10

\(\bf Choose~the~equivalent~system~of~linear~equations~that~will~produce~the~same\) \(\bf solution~as~the~one~given~below.\)

\(6x + 2y = -6\)
\(3x - 4y = -18\)

I'd just use a graph for this..it will take too much time to just find out the solution then check the others.

I recommend this one: https://www.desmos.com/calculator

Just plug the equations in separate boxes on the left.

In this case, the solution is \((-2, 3)\).

Option A's solution is also \((-2,3)\).

Answer 11

So your answer is A. @alenahall12

Answer 12

oh sorry i was writing this'll down in notes it really helps when u go in the steps

Answer 13

and thank you big help

Answer 14

No problem.