Asked by Shreya Khard on Sep 23, 2024

Solve the system by the method of substitution. {y=2x2y=38x−180\left\{ \begin{array} { l } y = 2 x ^ { 2 } \\y = 38 x - 180\end{array} \right.{y=2x2y=38x180

A) (−1,2) ,(1,2) ( - 1,2 ) , ( 1,2 ) (1,2) ,(1,2)
B) (9,162) ,(10,200) ( 9,162 ) , ( 10,200 ) (9,162) ,(10,200)
C) (−9,162) ,(−10,200) ( - 9,162 ) , ( - 10,200 ) (9,162) ,(10,200)
D) (1,2) ( 1,2 ) (1,2)
E) no solution exists

Method of Substitution

A technique used to solve systems of equations by solving one equation for one variable and then substituting that expression into another equation.

System of Equations

A set of two or more equations with the same set of unknowns, which are solved together to find a common solution.

  • Absorb the principles of the substitution method in solving systems of equations.