Question

8
multiple choice 2 points
which ordered pair is the solution to this system of equations?
2x - y = 10
x + y = 2
(2, - 4)
(4, - 2)
(4, 2)
(-4, 2)
9
multiple choice 2 points
if a fair coin is tossed five times, the probability of getting exactly two heads is
1/4
2/5
10/32
1/32
10
multiple choice 2 points
what is the value of x in the solution of the system of equations 3x + 2y = 12 and
5x - 2y = 4?
2
8
4
3

Explanation:

Step1: Solve the system of equations

We have the system of equations:

$$\begin{cases} 2x - y = 10&(1)\\ x + y = 2&(2) \end{cases}$$

Add equations \((1)\) and \((2)\) to eliminate \(y\):

$$\begin{align*} (2x - y)+(x + y)&=10 + 2\\ 2x - y+x + y&=12\\ 3x&=12\\ x&=4 \end{align*}$$

Step2: Find the value of \(y\)

Substitute \(x = 4\) into equation \((2)\):

$$\begin{align*} 4+y&=2\\ y&=2 - 4\\ y&=- 2 \end{align*}$$

Answer:

\((4,-2)\)