7x - 4y=-8\n y = \\frac{3}{4}x - 3\nwhat is the closest approximate solution to the system of…

7x - 4y=-8\n y = \\frac{3}{4}x - 3\nwhat is the closest approximate solution to the system of equations?\n(-5, -7.2)\n(-5, -6.8)\n(-5, -6.2)\n(-5, -5.9)

7x - 4y=-8\n y = \\frac{3}{4}x - 3\nwhat is the closest approximate solution to the system of equations?\n(-5, -7.2)\n(-5, -6.8)\n(-5, -6.2)\n(-5, -5.9)

Answer

Explanation:

Step1: Substitute the second - equation into the first

Substitute $y = \frac{3}{4}x - 3$ into $7x-4y=-8$. $7x - 4(\frac{3}{4}x - 3)=-8$.

Step2: Simplify the equation

Expand the left - hand side: $7x-3x + 12=-8$. Combine like terms: $4x+12=-8$.

Step3: Solve for x

Subtract 12 from both sides: $4x=-8 - 12=-20$. Divide both sides by 4: $x=-5$.

Step4: Solve for y

Substitute $x = - 5$ into $y=\frac{3}{4}x - 3$. $y=\frac{3}{4}\times(-5)-3=-\frac{15}{4}-3=-\frac{15}{4}-\frac{12}{4}=-\frac{27}{4}=-6.75\approx - 6.8$.

Answer:

(-5, -6.8)