Answer:
x = 0
Step-by-step explanation:
Solve 2x - 3y = 3 for x:
- [tex]2x - 3y = 3[/tex]
- [tex]2x - 3y + 3y = 3+ 3y[/tex] (add 3y to both sides)
- [tex]2x = 3y + 3[/tex]
- [tex]\frac{2x}{2} = \frac{3y+3}{2}[/tex] (divide both sides by 2)
- [tex]x = \frac{3}{2}y + \frac{3}{2}[/tex]
Substitute 3/2(y) + 3/2 for x in 5x - 4y = 4
- [tex]5x - 4y = 4[/tex]
- [tex]5(\frac{3}{2}y + \frac{3}{2}) - 4y = 4[/tex]
- [tex]\frac{7}{2}y + \frac{15}{2} = 4[/tex] (simplified both sides of equation)
- [tex]\frac{7}{2}y + \frac{15}{2} - \frac{15}{2} = 4 - \frac{15}{2}[/tex] (subtract 15/2 from both sides)
- [tex]\frac{7}{2}y = -\frac{7}{2}[/tex]
- [tex]\frac{7}{2}y * \frac{2}{7} = \frac{-7}{2} * \frac{2}{7}[/tex] (multiply both sides by 2/7)
- [tex]y = -1[/tex]
Substitute -1 for y in x = 3/2(y) + 3/2
- [tex]x = \frac{3}{2}y + \frac{3}{2}[/tex]
- [tex]x = \frac{3}{2}(-1) + \frac{3}{2}[/tex]
- [tex]x = -\frac{3}{2}+ \frac{3}{2}[/tex] (simplified both sides of equation)
- [tex]x = 0[/tex]
Therefore, the value of the x-variable is 0.
