Question

50 POINTS

Solve the system of equations
y=2/3x + 4
2x - 3y=3

A: Infinite Solutions


B: No Solution


C: (3,2)


D: (2,-3)

Answer 1

B) no solution

Explanation:

this can be solved by substitution method

y= ⅔x + 4. (equation 1)

and 2x-3y= 3. (equation 2)

substitute for y into equation 2

2x-3(2/3x + 4) = 3

2x - 2x -12=3

0=15

this is a no solution equation

Answer 2

Here

• a_1=2/3
• a2=2
• b1=-1
• b2=-3
• c1=4
• c2=3

`\\ \sf\Rrightarrow (a_1)/(a_2)=(2/3)/(2)=(1)/(3)`

`\\ \sf\Rrightarrow (b_1)/(b_2)=(1)/(3)`

`\\ \sf\Rrightarrow (c_1)/(c_2)=(-4)/(3)`

As

`\\ \sf\Rrightarrow (a_1)/(a_2)=(b_1)/(b_2)\\eq (c_1)/(c_2)`

It has no solutions