Answer:
[tex]5x + 7y = 14[/tex]
Step-by-step explanation:
1: Formulate equations/expressions:
[tex]based \: on \: the \: given \: conditions \: formulate \\ b = 2[/tex]
2: Write the equations:
[tex]write \: the \: equation \: of \: linear \: function \\ y = mx + b[/tex]
3: Substitute:
[tex]y = mx + b \\ b = 2 \: (7 \: - 3) \\ - 3 = m \: . \: 7 + 2[/tex]
4: Solve the equation:
[tex] - 3 = m \: . \: 7 + 2 \\ multiply \: the \: monomials \\ - 3 = 7m + 2 \\ rearrange \: unknown \: terms \: to \: the \: left \: of \: the \: equation \\ - 7m = 2 + 3 \\ calculate \: the \: sum \: or \: differences \\ - 7m = 5 \\ divide \: both \: sides \: of \: the \: equations \: by \: the \: coefficient \: variable \\ m = 5 \div ( - 7) \\ calculate \\ m = - \frac{5}{7} [/tex]
5: Substitute:
[tex]y = mx + b \\ b = 2 \: m = - \frac{5}{7} \\ y = - \frac{5}{7} x + 2[/tex]
6: Rewrite the equations:
[tex]y = - \frac{5}{7} x + 2 \\ standard \: forms \\ find \: the \: required \: form \\ 5x + 7y = 14[/tex]
