Answer:
2h+2f=10.50
4h+3f=19.50
Step-by-step explanation:
2h+2f=10.50
4h+3f=19.50
• To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
{2h2f=10.5,4h3f=19.5}
• Choose one of the equations and solve it for h by isolating h on the left hand side of the equal sign.
2h+2f=10.5
• Subtract 2f from both sides of the equation.
2h=−2f+10.5
• Divide both sides by 2.
h=1/2 (−2f+10.5)
• Multiply 1/2 times −2f+10.5.
h=−f+21/4
• Substitute −f+21/4 for h in the other equation, 4h+3f=19.5.
4(−f+21/4)+3f=19.5
• Multiply 4 times −f+21/4.
−4f+21+3f=19.5
• Add −4f to 3f.
−f+21=19.5
• Subtract 21 from both sides of the equation.
−f=−1.5
• Divide both sides by −1.
f=1.5
• Substitute 1.5 for f in h=−f+21/4. Because the resulting equation contains only one variable, you can solve for h directly.
h=−1.5+21/4
• Add 21/4 to −1.5 by finding a common denominator and adding the numerators. Then reduce the fraction to lowest terms if possible.
h=15/4
