Use Substitution to solve 0.5p 0.75h = 765 and 0.25p h = 745
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Use the substitution method to solve:
0.5p + 0.75h = 765
0.25p + h = 745
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Rearrange Equation 2 to solve for p:
0.25p + h = 745
Subtract h from both sides to isolate p:
0.25p + h - h = 745 - h
0.25p = 745 - h
Plug Revised Equation 2 value into p:
0.5(p) + 0.75h = 765
0.5 * (745 - h) + 0.75h = 765
((372.5 - 0.5h)/0.25) + 0.75h = 765
Multiply equation 1 through by 0.25
0.25 * (((372.5 - 0.5h)/0.25) + 0.75h = 765)
0.25 * (((372.5 - 0.5h)/0.25) + 0.75h = 765)
372.5 - 0.5h + 0.1875h = 191.25
Group like terms:
-0.5h + 0.1875h = 191.25 - 372.5
-0.3125h = -181.25
Divide each side by -0.3125
-0.3125h
-0.3125
=
-181.25
-0.3125
h =
-181.25
-0.3125
h = 580
Plug this answer into Equation 1
0.5p + 0.75(580) = 765
0.5p + 435 = 765
0.5p = 765 - 435
0.5p = 330
Divide each side by 0.5
0.5p
0.5
=
330
0.5
p =
330
0.5
p = 660
What is the Answer?
p = 660 and h = 580
How does the Simultaneous Equations Calculator work?
Free Simultaneous Equations Calculator - Solves a system of simultaneous equations with 2 unknowns using the following 3 methods: 1) Substitution Method (Direct Substitution) 2) Elimination Method 3) Cramers Method or Cramers Rule
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