Download Algebra 1 Section 7.3 Solve linear systems by linear combinations

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Transcript
Algebra 1 Section 7.3
Solve linear systems by linear combinations
Solve
a–b=8
a + b = 20
Solve
3x – 2y = 1
2x + 2y = 4
Solve by linear combinations
x – y = -5
x + 2y = 4
To solve by linear combinations
1. Make the coefficients on
one of the variable terms
opposites
2. Add the equations to
eliminate one variable term
3. Solve the equation
4. Substitute and solve for the
other variable
solve
2a + 6b = 4
3a – 7b = 6
10x + 16y = 140
5x – 8y = 60
solve
x + 1 – 3y = 0
2x = 7 – 3y
Page 413 ex 4
x = gold volume
y = silver volume
Gold + silver
volume volume
= total
volume
Gold . Gold + Silver . Silver
= Weight
Density Volume Density Volume
assignment
Page 414
Problems 8 – 42 even,43,44,58