Answer:
x = 3/4
y = 0
Explanation:
-3/2 = -1.5
To solve the system by elimination, we will add the two equations together when the y-coefficients have opposite signs.
We have:
```
4x-2y=3
y-2x=-1.5
```
Adding the two equations together, we get:
```
2x=1.5
```
Dividing both sides by 2, we get:
```
x=0.75
```
Substituting this value of x into the top equation, we get:
```
4*0.75-2y=3
```
```
3-2y=3
```
```
-2y=0
```
```
y=0
```
Therefore, the solution to the system is x=0.75 and y=0.
**Step-by-step work:**
1. Add the two equations together when the y-coefficients have opposite signs.
2. Solve for x.
3. Substitute the value of x into one of the original equations to solve for y.
4. Check your answer by substituting the values of x and y into both original equations.
**Answer:**
x=0.75
y=0