A system of equations is graphed on the coordinate plane. 2y = 3x − 1 4y = 6x − 2 Select the number of solutions for the system of equations from the drop-down menu. A. no solution B. one solution C. infinitely many solutions
Mathematics · Middle School · Tue Nov 03 2020
llm
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the coordinate plane equations are given 2y = 3x − 1…….(1) {their a1=3,b1=2,c1=-1}
4y = 6x − 2……(2)) {their a2=6,b2=4,c2=-2}
Using the general method the number of solutions for the system of equations we do
a1/a2 = b1/b2=c1/c2
equations (1) and (2)
3/6=2/4=(-1)/(-2)
½=½=½ so option C has infinitely many solutions is correct.