Question 386322
Solve by substitution:
{{{2x+7y = 3}}}
{{{x = 1-4y}}} Substitute this x into the first equation then solve for y.
{{{2(1-4y)+7y = 3}}} Simplify.
{{{2-8y+7y = 3}}}
{{{2-y = 3}}} Subtract 2 from both sides.
{{{-y = 1}}} Multiply by -1 to make y positive.
{{{y = -1}}} Now substitute this value of y into either one of the two given equations and solve for x. Let's use the second equation.
{{{x = 1-4y}}} Substitute {{{y = -1}}}
{{{x = 1-4(-1)}}} Simplify.
{{{x = 1+4}}}
{{{x = 5}}}
The solution is: (5, -1)
Let's look at the graphic solution:
{{{graph(400,400,-2,10,-2,1,-(2/7)x+3/7,-(1/4)x+1/4)}}}
The solution is where the two lines intersect (5, -1)