If -1,2 is the solution to the following linear system, what are the values of the coefficents a and b . Show your work to support your answer

2ax-3by= - 14

5ax - 2by = -2

HOW WOULD I SOLVE

2 answers

substutx x and y into the equations:
-2a-6b=-14
-5a-20b=-2

then solve for a and b.
x = -1 and y = 2
just plug in the values for x and y, and you get
-2a - 6b = - 14
-5a - 4b = -2
Now multiply by 2 on the top and 3 on the bottom to get
-4a - 12b = -28
-15a - 12b = -6
Now subtract and y is eliminated:
11a = -22
a = -2
and now use that to find b.
Similar Questions
    1. answers icon 1 answer
  1. The solution to a system of two linear equations is x = 3 weeks; y = 9 feetMatch the description with the correct system How
    1. answers icon 1 answer
  2. Consider for every real number a the linear system of equations:{ x +( a + 1 )y + a^2 z = a^3 { ( 1 - a )x +( 1 - 2a )y = a^3 {
    1. answers icon 2 answers
  3. for what values of k does the linear system below have:a) infinite solutions? b) one solution? c) no solution? 2/3x+y=16
    1. answers icon 1 answer
more similar questions