Question 61
The equations
$$
(y+3)^2-x(x-4)=7+(y-x)(y+x)
$$
and
$$
x+\frac{y-1}{2}=\frac{x}{2}-y
$$
are given.
Part a. Solve the system and represent its solution as a point $A$ in the coordinate plane.
Part b. Write, in slope-intercept, general, and intercept form, the equation of the line through $A$ that has the same $x$-intercept as the line $3x+2y-15=0$.
$$
(y+3)^2-x(x-4)=7+(y-x)(y+x)
$$
and
$$
x+\frac{y-1}{2}=\frac{x}{2}-y
$$
are given.
Part a. Solve the system and represent its solution as a point $A$ in the coordinate plane.
Part b. Write, in slope-intercept, general, and intercept form, the equation of the line through $A$ that has the same $x$-intercept as the line $3x+2y-15=0$.