20 point and brainliest 1. solve the system of equations using the substitution method. {4x+5y=7y=3x+9 enter your answers in the boxes. 2.which properties justify the steps taken to solve the system? {4x+3y=252x+−5y=19 drag the answers into the boxes to match each step.

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Step-by-step explanation:

X=-2 and y=3.

The first step we take is to substitute the value for y from the second equation into the first equation:
4x+5(3x+9)=7

This is justified by substitution.  The next step is:
4x+5*3x+5*9=7
4x+15x+45=7

This is justified by the distributive property.  The next step is:
19x+45=7

This is justified by addition of like terms.  The next step is:
19x+45-45=7-45
19x=-38

This is justified by the subtraction property of equality.  The next step is:
19x/19 = -38/19
x=-2

This is justified by the division property of equality.  The next step is:
y=3(-2)+9
y=-6+9
y=3

This is justified by substitution, multiplication and addition, in that order.

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12