Asked by Aline Rugira on Apr 29, 2024
Verified
Which of the following systems of equations below has the solution (1,4) ?
{4x−6y=−203x−5y=−17,{4x−6y=243x−5y=19,{4x−6y=163x−5y=12,{4x−6y=363x−5y=29,{4x−6y=263x−5y=21\left\{ \begin{array} { l } 4 x - 6 y = - 20 \\3 x - 5 y = - 17\end{array} , \left\{ \begin{array} { l } 4 x - 6 y = 24 \\3 x - 5 y = 19\end{array} , \left\{ \begin{array} { l } 4 x - 6 y = 16 \\3 x - 5 y = 12\end{array} , \left\{ \begin{array} { l } 4 x - 6 y = 36 \\3 x - 5 y = 29\end{array} , \left\{ \begin{array} { l } 4 x - 6 y = 26 \\3 x - 5 y = 21\end{array} \right. \right. \right. \right. \right.{4x−6y=−203x−5y=−17,{4x−6y=243x−5y=19,{4x−6y=163x−5y=12,{4x−6y=363x−5y=29,{4x−6y=263x−5y=21
A) {4x−6y=363x−5y=29\left\{ \begin{array} { l } 4 x - 6 y = 36 \\3 x - 5 y = 29\end{array} \right.{4x−6y=363x−5y=29
B) {4x−6y=263x−5y=21\left\{ \begin{array} { l } 4 x - 6 y = 26 \\3 x - 5 y = 21\end{array} \right.{4x−6y=263x−5y=21
C) {4x−6y=243x−5y=19\left\{ \begin{array} { l } 4 x - 6 y = 24 \\3 x - 5 y = 19\end{array} \right.{4x−6y=243x−5y=19
D) {4x−6y=−203x−5y=−17\left\{ \begin{array} { l } 4 x - 6 y = - 20 \\3 x - 5 y = - 17\end{array} \right.{4x−6y=−203x−5y=−17
E) {4x−6y=163x−5y=12\left\{ \begin{array} { l } 4 x - 6 y = 16 \\3 x - 5 y = 12\end{array} \right.{4x−6y=163x−5y=12
Solutions
The values or sets of values that satisfy an equation, inequality, system of equations, or other mathematical conditions.
- Acquire an understanding of how systems of equations are applied to resolve problems subjected to constraints.
Verified Answer
MA
Maryjane AbalihiMay 03, 2024
Final Answer :
D
Explanation :
Substituting x=1x = 1x=1 and y=4y = 4y=4 into each system of equations, only the equations in option D yield true statements: 4(1)−6(4)=−204(1) - 6(4) = -204(1)−6(4)=−20 and 3(1)−5(4)=−173(1) - 5(4) = -173(1)−5(4)=−17 .
Learning Objectives
- Acquire an understanding of how systems of equations are applied to resolve problems subjected to constraints.