alleryStart learning →Solve by elimination: 4x - 3y = 9 and 7x + 2y = -6.
A(-3, 0)
B(0, -3)
C(0, 3)
D(3, 0)
Answer & Solution
Correct answer: B. (0, -3)
1. Multiply the first equation by 2 and the second by 3 to make the y-coefficients opposites: 8x minus 6y equals 18, and 21x plus 6y equals -18.
2. Add the two new equations to eliminate y: 29x equals 0, so x equals 0.
3. Substitute x = 0 into 4x - 3y = 9 to get -3y equals 9, so y equals -3.
4. Check: 7(0) plus 2(-3) equals -6, matching the second equation.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 5 "Systems of Linear Equations", section 5.3 Solve Systems of Equations by Elimination_
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