mathphobic1 wrote:3m+2p=1.80
4m+6p=2.90
solve for m and p
Please help me solve this algebraically
Please review -
Solving systems of equations by substitution :
http://www.purplemath.com/modules/systlin4.htm Solving systems of equations by addition/elimination :
http://www.purplemath.com/modules/systlin5.htmSince none of the
or
terms has a coefficient of
, the addition method has the advantage.
Notice that if you were to multiply the top equation through by
, that would make it easy to eliminate
and solve for
.
1.) Multiply both sides of the top equation by
.
2.) Multiply both sides of the bottom equation by
.
3.) Add together. The
terms drop out.
4.) Solve the resulting equation for
.
5.) Take the value of m that you got in step 4, plug it in for
in the first equation, and solve the resulting equation for
.
6.) Check both values from steps 4 and 5 into both original equations.
7.) Answer
(whatever m equals),
(whatever p equals).
Please follow the above steps to complete the solution.
If you get stuck, please reply showing the steps that you followed and what you got for each step.