Question 189479
Solve 1 equation for 1 variable:
1. Subtract 2y from both sides to move it out of the way:
{{{2x + 2y - 2y = 16 - 2y}}}
{{{2x = 16 - 2y}}}
2. Divide both sides by 2 to move it out of the way:
{{{2x/2 = (16 - 2y)/2}}}
3. Regroup fraction on the right side:
{{{2x/2 = 16/2 - 2y/2}}}
4. Cancel 2s and divide 16 by 2:
{{{x = 8 - y}}}
..
Solve to get one answer:
5. Replace the variable in the other equation with your answer:
{{{2(8 - y) + 6y = 28}}}
Distribute the 2
{{{16 - 2y + 6y = 28}}}
{{{16 + 4y = 28}}}
6. Subtract 16 from both sides to move it out of the way:
{{{16 + 4y - 16 = 28 - 16}}}
{{{4y = 12}}}
7. Divide by 4 to get to y:
{{{4y/4 = 12/4}}}
{{{y = 3}}}
..
Put this answer in an equation to get the other answer:
8. Replace y with what it equals:
{{{x = 8 - y}}}
{{{x = 8 - 3}}}
9. Subtract to get the second answer:
{{{x = 5}}}
..
Check:
10. Use first equation:
{{{2x+2y=16}}}
11. Replace variables with what they equal:
{{{2(5) + 2(3) = 16}}}
12. Multiply:
{{{10 + 6 = 16}}}
13. Add:
{{{16 = 16}}}
..
Check more:
14. Use second equation:
{{{2x+6y=28}}}
15. Replace variables with what they equal:
{{{2(5) + 6(3) = 28}}}
16. Multiply:
{{{10 + 18 = 28}}}
17. Add:
{{{28 = 28}}}