Question 651466

let {{{D}}} be democrats and {{{R}}} republicans

In the 107th Congress, the US House of Representatives had a total of {{{430 }}} democrats and republicans; so, we have 

{{{D+R=430}}}....1

There were {{{10}}} more republicans than democrats; so, we have 

{{{D+10=R}}}.........2

now, we are going to solve this system:

{{{D+R=430}}}....1
{{{D+10=R}}}.........2
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{{{D+R=430}}}....1...solve for {{{D}}}

{{{D=430-R}}}...plug it in 2

{{{430-R+10=R}}}.........2.solve for {{{R}}}

{{{430+10=R+R}}}

{{{440=2R}}}

{{{440/2=R}}}

{{{highlight(220=R)}}}

now find {{{D}}}

{{{D=430-R}}}

{{{D=430-220}}}

{{{highlight(D=210)}}}