Question 954272
Four times one of two numbers is equal to seven times the second number. The sum of the two numbers is 22.
{{{4x=7y}}}
{{{x=(7/4)y}}}
{{{x+y=22}}} Substitute for x.
{{{(7/4)y+y=22}}}
{{{11/4)y=22}}} Multiply each side by 4.
{{{11y=88}}} Divide each side by 11.
{{{y=8}}} ANSWER 1: One of the numbers is 8.
{{{x=(7/4)y=(7/4)8}}}={{{56/4=14}}} ANSWER 2: The other number is 14.
CHECK:
4x=7y
4(14)=7(8)
56=56