Question

3x + 2y = 4
2x - y = 5
This system of equations
a.has no solution.
b.has one solution.
c.is coincident.

Answer 1

2 and -1

Answer 2

b.has one solution.

Answer 3

:D

Answer 4

If we multiply an equation by a constant, we do not change the equation.
Multiply E1 by 2 and E2 by -3. Then you have:
6x + 4y = 8
-6x + 3y = -15
Add together to eliminate x.
7y = -7
y = -1
Plug in for y in either equation.
6x + 4(-1) = 8
6x - 4 = 8
6x = 12
x = 2
Since there are definite answers for both variables, there is only one solution.
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