Solve.
-The sum of two numbers is $- 5$. Three times the first number equals 4 times the second number. Find the two numbers.
A) $- \frac { 20 } { 7 }$ and $- \frac { 15 } { 7 }$
B) $\frac { 20 } { 7 }$ and $\frac { 15 } { 7 }$
C) $- 5$ and 12
D) $- 20$ and $- 15$

Question

Quizplus · Accepted Answer

Let the first number be $x$ and the second number be $y$. The system of equations based on the given information is:1) $x + y = -5$2) $3x = 4y$From equation 2, we can express $x$ in terms of $y$: $x = \frac{4}{3}y$.Substituting $x = \frac{4}{3}y$ into equation 1 gives us:$\frac{4}{3}y + y = -5$$\frac{7}{3}y = -5$$y = -\frac{15}{7}$Substituting $y = -\frac{15}{7}$ back into $x = \frac{4}{3}y$ gives us:$x = \frac{4}{3}(-\frac{15}{7}) = -\frac{20}{7}$Therefore, the two numbers are $-\frac{20}{7}$ and $-\frac{15}{7}$.

Solve -The Sum of Two Numbers Is −5- 5−5 Three Times the First Number Equals 4 Times the Three

Solve
-The Sum of Two Numbers Is $- 5$ Three Times the First Number Equals 4 Times the Three