Chapter 6, Problem 2STP

To determine

To solve: the system of equations.

Answer to Problem 2STP

The solution is: $F(3,5)$

Explanation of Solution

Given:

  $\begin{array}{l}y=4x-7\\ 3x-2y=-1\end{array}$

Calculation:

Here the equations are:

  $y=4x-7\dots \dots (1)$

And,

  $3x-2y=-1\dots \dots (2)$

The strategy is to solve the system of equations using the substitution method.

Substitute the value of $y$ from (1) in (2) to get

  $3x-2(4x-7)=-1$

  $3x-8x+14=-1$

  $-5x+14-14=-1-14$

  $-5x=-15$

  $\frac{5x}{5}=\frac{15}{5}[$ Divide both sides by 5]

  $x=3$

Again, from equation ( 1 ).

  $y=4(3)-7$

  $y=12-7$

  $y=5$

Hence, the solution is: $F(3,5)$

Conclusion:

Hence, the solution is: $F(3,5)$