X+2y=4 Multiply both side by 2 x*2+2y*2=4*2 2x+4y=8
2x-2y=5 Next, use substitute property 2x+4y=8 - 2x-2y=5 = 6y=3 Divided both side by 6 6y/6=3/6 y=0.5
x+2y=4 Substitute y with 0.5 x+2(0.5)=4 x+1=4 Subtract 1 to each side x+1-1=4-1 x=3, so the solution to this equation is (3,0.5)
7x-2y=-20 Multiply both side by 2 7x*2-2y*2=-20*2 14x-4y=-40
9x+4y=-6 Then, Use substitute property 14x-4y=-40 + 9x+4y=-6 = 23x=-46 Divided 23 to each side 23x/23=-46/23 x=-2
7x-2y=-20 Substitute x with -2 7(-2)-2y=-20 -14-2y=-20 Add 14 to each side -14-2y+14=-20+14 -2y=-6 Divided -2 to each side -2y/-2=-6/-2 y=3, so the solution to this equations are (-2,3)
2x+y=7 -3x+y=2 Then, use substitute property 2x+y=7 - -3x+y=2 = 5x=5 Divided 5 to each side 5x/5=5/5 x=1
2x+y=7 Substitute x with 1 2(1)+y=7 2+y=7 Subtract 2 to each side 2+y-2=7-2 y=5, so the order pair is (1,5). Hope it help!
1st problem: Solve for x, then substitute that in for x in the second equation. Solve for y. Substitute value of y into first equation. Solve for x. This gives the point of intersection.
2nd problem: Multiply the first equation by 2 and then add the two equations. Solve for x. Substitute the value for x into the second equation. Solve for y. This gives the point of intersection.
3rd problem: Solve for y in the first equation and substitute that into the second equation. Solve for x. Substitute into first equation. This gives the point of intersection.