Given:
4x - 7y = 105
y = -3x + 10
Let's find the solution for the system.
Since we have y = -3x + 10. Substitute (-3x + 10) for y in equation 1:
4x - 7(-3x + 10) = 105
• Apply distributive property:
4x - 7(-3x) -7(10) = 105
4x + 21x - 70 = 105
25x - 70 = 105
• Add 70 to both sides of the equation:
25x - 70 + 70 = 105 + 70
25x = 175
• Divide both sides by 25:
[tex]\begin{gathered} \frac{25x}{25}=\frac{175}{25} \\ \\ x=7 \end{gathered}[/tex]Substitute 7 for x in either equation.
Take the second equation:
y = -3x + 10
y = -3(7) + 10
y = -21 + 10
y = -11
Therefore, we have the solution:
x = 7, y = -11
ANSWER:
x = 7
